48103372800 has 720 divisors, whose sum is σ = 203739616080. Its totient is φ = 10988421120.

The previous prime is 48103372783. The next prime is 48103372817. The reversal of 48103372800 is 827330184.

48103372800 is a `hidden beast` number, since 48 + 1 + 0 + 337 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48103372783) and next prime (48103372817).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×48103372800³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29029572 + ... + 29031228.

It is an arithmetic number, because the mean of its divisors is an integer number (282971689).

Almost surely, 2^48103372800 is an apocalyptic number.

48103372800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48103372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101869808040).

48103372800 is an abundant number, since it is smaller than the sum of its proper divisors (155636243280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48103372800 is a wasteful number, since it uses less digits than its factorization.

48103372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 48103 and 372800, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 48103372800 in words is "forty-eight billion, one hundred three million, three hundred seventy-two thousand, eight hundred".