81604373760000 has 5760 divisors, whose sum is σ = 405680545670400. Its totient is φ = 15288238080000.

The previous prime is 81604373759977. The next prime is 81604373760029. The reversal of 81604373760000 is 6737340618.

81604373760000 is a `hidden beast` number, since 8 + 1 + 6 + 0 + 4 + 3 + 7 + 37 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 338607359880 + ... + 338607360120.

It is an arithmetic number, because the mean of its divisors is an integer number (70430650290).

Almost surely, 2^{81604373760000} is an apocalyptic number.

81604373760000 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 81604373760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202840272835200).

81604373760000 is an abundant number, since it is smaller than the sum of its proper divisors (324076171910400).

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

81604373760000 is a wasteful number, since it uses less digits than its factorization.

81604373760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 81604373760000 in words is "eighty-one trillion, six hundred four billion, three hundred seventy-three million, seven hundred sixty thousand".