87257969010 has 64 divisors (see below), whose sum is σ = 232750229760. Its totient is φ = 23262560640.

The previous prime is 87257969003. The next prime is 87257969011. The reversal of 87257969010 is 1096975278.

87257969010 is a `hidden beast` number, since 8 + 7 + 2 + 579 + 69 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×87257969010² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87257969011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014654 + ... + 1097286.

It is an arithmetic number, because the mean of its divisors is an integer number (3636722340).

Almost surely, 2^87257969010 is an apocalyptic number.

87257969010 is an abundant number, since it is smaller than the sum of its proper divisors (145492260750).

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

87257969010 is a wasteful number, since it uses less digits than its factorization.

87257969010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86560 (or 86554 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 87257969010 in words is "eighty-seven billion, two hundred fifty-seven million, nine hundred sixty-nine thousand, ten".