48275765510400 has 1728 divisors, whose sum is σ = 188462744279040. Its totient is φ = 12070541721600.

The previous prime is 48275765510339. The next prime is 48275765510449. The reversal of 48275765510400 is 401556757284.

It is a happy number.

48275765510400 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 576 + 55 + 10 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×48275765510400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 73929196474 + ... + 73929197126.

Almost surely, 2^{48275765510400} is an apocalyptic number.

48275765510400 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 48275765510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94231372139520).

48275765510400 is an abundant number, since it is smaller than the sum of its proper divisors (140186978768640).

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

48275765510400 is a wasteful number, since it uses less digits than its factorization.

48275765510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 48275765510400 in words is "forty-eight trillion, two hundred seventy-five billion, seven hundred sixty-five million, five hundred ten thousand, four hundred".