81097376484960 has 3072 divisors, whose sum is σ = 345311626383360. Its totient is φ = 17550897315840.

The previous prime is 81097376484959. The next prime is 81097376484991. The reversal of 81097376484960 is 6948467379018.

81097376484960 is a `hidden beast` number, since 8 + 1 + 0 + 9 + 73 + 7 + 64 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 240645033912 + ... + 240645034248.

It is an arithmetic number, because the mean of its divisors is an integer number (112406128380).

Almost surely, 2^{81097376484960} is an apocalyptic number.

81097376484960 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 81097376484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172655813191680).

81097376484960 is an abundant number, since it is smaller than the sum of its proper divisors (264214249898400).

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

81097376484960 is a wasteful number, since it uses less digits than its factorization.

81097376484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 81097376484960 in words is "eighty-one trillion, ninety-seven billion, three hundred seventy-six million, four hundred eighty-four thousand, nine hundred sixty".