87259116672 has 1024 divisors, whose sum is σ = 353687040000. Its totient is φ = 20495794176.

The previous prime is 87259116647. The next prime is 87259116673. The reversal of 87259116672 is 27661195278.

It is a super-2 number, since 2×87259116672² (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 (87259116673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101581779 + ... + 101582637.

It is an arithmetic number, because the mean of its divisors is an integer number (345397500).

Almost surely, 2^87259116672 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 87259116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176843520000).

87259116672 is an abundant number, since it is smaller than the sum of its proper divisors (266427923328).

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

87259116672 is a wasteful number, since it uses less digits than its factorization.

87259116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 920 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 87259116672 in words is "eighty-seven billion, two hundred fifty-nine million, one hundred sixteen thousand, six hundred seventy-two".