48192278400 has 480 divisors, whose sum is σ = 203253486480. Its totient is φ = 11014963200.

The previous prime is 48192278389. The next prime is 48192278413. The reversal of 48192278400 is 487229184.

48192278400 is a `hidden beast` number, since 4 + 8 + 19 + 227 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1801120 + ... + 1827680.

Almost surely, 2^48192278400 is an apocalyptic number.

48192278400 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 48192278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101626743240).

48192278400 is an abundant number, since it is smaller than the sum of its proper divisors (155061208080).

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

48192278400 is a wasteful number, since it uses less digits than its factorization.

48192278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26604 (or 26578 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 48192278400 in words is "forty-eight billion, one hundred ninety-two million, two hundred seventy-eight thousand, four hundred".