87788954897280 has 1536 divisors, whose sum is σ = 385596081561600. Its totient is φ = 17903721185280.

The previous prime is 87788954897279. The next prime is 87788954897297. The reversal of 87788954897280 is 8279845988778.

87788954897280 is a `hidden beast` number, since 87 + 7 + 88 + 95 + 4 + 8 + 97 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16200210411 + ... + 16200215829.

It is an arithmetic number, because the mean of its divisors is an integer number (251039115600).

Almost surely, 2^{87788954897280} is an apocalyptic number.

87788954897280 is a gapful number since it is divisible by the number (80) 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 87788954897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192798040780800).

87788954897280 is an abundant number, since it is smaller than the sum of its proper divisors (297807126664320).

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

87788954897280 is a wasteful number, since it uses less digits than its factorization.

87788954897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 36415733760, while the sum is 90.

The spelling of 87788954897280 in words is "eighty-seven trillion, seven hundred eighty-eight billion, nine hundred fifty-four million, eight hundred ninety-seven thousand, two hundred eighty".