87257969064 has 128 divisors (see below), whose sum is σ = 277099084800. Its totient is φ = 24922779840.

The previous prime is 87257969063. The next prime is 87257969137. The reversal of 87257969064 is 46096975278.

It is a super-2 number, since 2×87257969064² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 87257968992 and 87257969010.

It is not an unprimeable number, because it can be changed into a prime (87257969063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5899999 + ... + 5914769.

It is an arithmetic number, because the mean of its divisors is an integer number (2164836600).

Almost surely, 2^87257969064 is an apocalyptic number.

87257969064 is a gapful number since it is divisible by the number (84) 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 87257969064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138549542400).

87257969064 is an abundant number, since it is smaller than the sum of its proper divisors (189841115736).

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

87257969064 is a wasteful number, since it uses less digits than its factorization.

87257969064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18700 (or 18690 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 87257969064 in words is "eighty-seven billion, two hundred fifty-seven million, nine hundred sixty-nine thousand, sixty-four".