81587951600 has 120 divisors (see below), whose sum is σ = 197511608448. Its totient is φ = 32387040000.

The previous prime is 81587951579. The next prime is 81587951633. The reversal of 81587951600 is 615978518.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30821477 + ... + 30824123.

Almost surely, 2^81587951600 is an apocalyptic number.

81587951600 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 81587951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755804224).

81587951600 is an abundant number, since it is smaller than the sum of its proper divisors (115923656848).

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

81587951600 is a wasteful number, since it uses less digits than its factorization.

81587951600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 50.

The spelling of 81587951600 in words is "eighty-one billion, five hundred eighty-seven million, nine hundred fifty-one thousand, six hundred".