87251436892440 has 256 divisors, whose sum is σ = 294453586800000. Its totient is φ = 23265084570624.

The previous prime is 87251436892439. The next prime is 87251436892583. The reversal of 87251436892440 is 4429863415278.

87251436892440 is a `hidden beast` number, since 8 + 7 + 2 + 5 + 1 + 43 + 68 + 92 + 440 = 666.

It is a super-2 number, since 2×87251436892440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1246467522 + ... + 1246537518.

It is a 1-persistent number, because it is pandigital, but 2⋅87251436892440 = 174502873784880 is not.

Almost surely, 2^{87251436892440} 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 87251436892440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147226793400000).

87251436892440 is an abundant number, since it is smaller than the sum of its proper divisors (207202149907560).

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

87251436892440 is a wasteful number, since it uses less digits than its factorization.

87251436892440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84278 (or 84256 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 87251436892440 in words is "eighty-seven trillion, two hundred fifty-one billion, four hundred thirty-six million, eight hundred ninety-two thousand, four hundred forty".