81876510462096 has 315 divisors, whose sum is σ = 276699727777161. Its totient is φ = 23391334213632.

The previous prime is 81876510462079. The next prime is 81876510462139. The reversal of 81876510462096 is 69026401567818.

The square root of 81876510462096 is 9048564.

It is a perfect power (a square), and thus also a powerful number.

81876510462096 is a `hidden beast` number, since 8 + 1 + 8 + 7 + 6 + 510 + 4 + 6 + 20 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7077536612496 + 74798973849600 = 2660364^2 + 8648640^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6840708400 + ... + 6840720368.

Almost surely, 2^{81876510462096} is an apocalyptic number.

81876510462096 is the 9048564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81876510462096

81876510462096 is an abundant number, since it is smaller than the sum of its proper divisors (194823217315065).

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

81876510462096 is an frugal number, since it uses more digits than its factorization.

81876510462096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23978 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 81876510462096 in words is "eighty-one trillion, eight hundred seventy-six billion, five hundred ten million, four hundred sixty-two thousand, ninety-six".