43115632560 has 2400 divisors, whose sum is σ = 222867735552. Its totient is φ = 7445053440.

The previous prime is 43115632487. The next prime is 43115632591. The reversal of 43115632560 is 6523651134.

43115632560 is a `hidden beast` number, since 4 + 3 + 1 + 15 + 632 + 5 + 6 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 1874592709 + ... + 1874592731.

Almost surely, 2^43115632560 is an apocalyptic number.

43115632560 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 43115632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111433867776).

43115632560 is an abundant number, since it is smaller than the sum of its proper divisors (179752102992).

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

43115632560 is a wasteful number, since it uses less digits than its factorization.

43115632560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 43115632560 in words is "forty-three billion, one hundred fifteen million, six hundred thirty-two thousand, five hundred sixty".