81151774704000 has 6912 divisors, whose sum is σ = 412440017633280. Its totient is φ = 14944849920000.

The previous prime is 81151774703971. The next prime is 81151774704001. The reversal of 81151774704000 is 40747715118.

81151774704000 is a `hidden beast` number, since 8 + 1 + 1 + 5 + 177 + 4 + 70 + 400 + 0 = 666.

It is a super-2 number, since 2×81151774704000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81151774704001) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 638990351937 + ... + 638990352063.

It is an arithmetic number, because the mean of its divisors is an integer number (59670141440).

Almost surely, 2^{81151774704000} is an apocalyptic number.

81151774704000 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 81151774704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206220008816640).

81151774704000 is an abundant number, since it is smaller than the sum of its proper divisors (331288242929280).

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

81151774704000 is a wasteful number, since it uses less digits than its factorization.

81151774704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 81151774704000 in words is "eighty-one trillion, one hundred fifty-one billion, seven hundred seventy-four million, seven hundred four thousand".