48057465542400 has 216 divisors, whose sum is σ = 176221832035760. Its totient is φ = 12815324098560.

The previous prime is 48057465542399. The next prime is 48057465542417. The reversal of 48057465542400 is 424556475084.

48057465542400 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 7 + 46 + 554 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138882367 + ... + 139227966.

Almost surely, 2^{48057465542400} is an apocalyptic number.

48057465542400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48057465542400 is an abundant number, since it is smaller than the sum of its proper divisors (128164366493360).

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

48057465542400 is a wasteful number, since it uses less digits than its factorization.

48057465542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278110368 (or 278110343 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 48057465542400 in words is "forty-eight trillion, fifty-seven billion, four hundred sixty-five million, five hundred forty-two thousand, four hundred".