115543478937600 has 3456 divisors, whose sum is σ = 515772457200000. Its totient is φ = 25248242073600.

The previous prime is 115543478937589. The next prime is 115543478937641. The reversal of 115543478937600 is 6739874345511.

115543478937600 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 4 + 3 + 478 + 93 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×115543478937600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 257335142176 + ... + 257335142624.

It is an arithmetic number, because the mean of its divisors is an integer number (149239715625).

Almost surely, 2^{115543478937600} is an apocalyptic number.

115543478937600 is a gapful number since it is divisible by the number (10) 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 115543478937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257886228600000).

115543478937600 is an abundant number, since it is smaller than the sum of its proper divisors (400228978262400).

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

115543478937600 is a wasteful number, since it uses less digits than its factorization.

115543478937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 115543478937600 in words is "one hundred fifteen trillion, five hundred forty-three billion, four hundred seventy-eight million, nine hundred thirty-seven thousand, six hundred".