87538290840 has 896 divisors, whose sum is σ = 396627840000. Its totient is φ = 16784962560.

The previous prime is 87538290817. The next prime is 87538290863. The reversal of 87538290840 is 4809283578.

It is a happy number.

87538290840 is a `hidden beast` number, since 8 + 7 + 538 + 29 + 0 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87538290817) and next prime (87538290863).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29187661 + ... + 29190659.

It is an arithmetic number, because the mean of its divisors is an integer number (442665000).

Almost surely, 2^87538290840 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 87538290840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198313920000).

87538290840 is an abundant number, since it is smaller than the sum of its proper divisors (309089549160).

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

87538290840 is a wasteful number, since it uses less digits than its factorization.

87538290840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 87538290840 in words is "eighty-seven billion, five hundred thirty-eight million, two hundred ninety thousand, eight hundred forty".