81315010296000 has 2352 divisors, whose sum is σ = 343281419758368. Its totient is φ = 18956146176000.

The previous prime is 81315010295989. The next prime is 81315010296067. The reversal of 81315010296000 is 69201051318.

81315010296000 is a `hidden beast` number, since 8 + 1 + 3 + 15 + 0 + 10 + 29 + 600 + 0 = 666.

It is a super-2 number, since 2×81315010296000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27369574515 + ... + 27369577485.

Almost surely, 2^{81315010296000} is an apocalyptic number.

81315010296000 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 81315010296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171640709879184).

81315010296000 is an abundant number, since it is smaller than the sum of its proper divisors (261966409462368).

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

81315010296000 is a wasteful number, since it uses less digits than its factorization.

81315010296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 81315010296000 in words is "eighty-one trillion, three hundred fifteen billion, ten million, two hundred ninety-six thousand".