87125725440 has 864 divisors, whose sum is σ = 348735179520. Its totient is φ = 20678934528.

The previous prime is 87125725429. The next prime is 87125725451. The reversal of 87125725440 is 4452752178.

87125725440 is a `hidden beast` number, since 8 + 71 + 2 + 572 + 5 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87125725429) and next prime (87125725451).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117261709 + ... + 117262451.

It is an arithmetic number, because the mean of its divisors is an integer number (403628680).

Almost surely, 2^87125725440 is an apocalyptic number.

87125725440 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 87125725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174367589760).

87125725440 is an abundant number, since it is smaller than the sum of its proper divisors (261609454080).

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

87125725440 is a wasteful number, since it uses less digits than its factorization.

87125725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 87125725440 in words is "eighty-seven billion, one hundred twenty-five million, seven hundred twenty-five thousand, four hundred forty".