87735215464400 has 60 divisors (see below), whose sum is σ = 240895834468512. Its totient is φ = 30080645301120.

The previous prime is 87735215464399. The next prime is 87735215464441. The reversal of 87735215464400 is 446451253778.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15666999962 + ... + 15667005561.

Almost surely, 2^{87735215464400} is an apocalyptic number.

87735215464400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87735215464400 is an abundant number, since it is smaller than the sum of its proper divisors (153160619004112).

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

87735215464400 is a wasteful number, since it uses less digits than its factorization.

87735215464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31334005548 (or 31334005537 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 56.

The spelling of 87735215464400 in words is "eighty-seven trillion, seven hundred thirty-five billion, two hundred fifteen million, four hundred sixty-four thousand, four hundred".