87269954688 has 896 divisors, whose sum is σ = 321293733120. Its totient is φ = 23057768448.

The previous prime is 87269954659. The next prime is 87269954689. The reversal of 87269954688 is 88645996278.

87269954688 is a `hidden beast` number, since 8 + 72 + 6 + 9 + 9 + 546 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (418037760) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (87269954689) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 555859506 + ... + 555859662.

Almost surely, 2^87269954688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87269954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160646866560).

87269954688 is an abundant number, since it is smaller than the sum of its proper divisors (234023778432).

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

87269954688 is a wasteful number, since it uses less digits than its factorization.

87269954688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 87269954688 in words is "eighty-seven billion, two hundred sixty-nine million, nine hundred fifty-four thousand, six hundred eighty-eight".