81416793744000 has 3456 divisors, whose sum is σ = 356655894154560. Its totient is φ = 17767766016000.

The previous prime is 81416793743951. The next prime is 81416793744019. The reversal of 81416793744000 is 44739761418.

It is a happy number.

81416793744000 is a `hidden beast` number, since 8 + 1 + 4 + 167 + 9 + 3 + 74 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 126620207679 + ... + 126620208321.

Almost surely, 2^{81416793744000} is an apocalyptic number.

81416793744000 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 81416793744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178327947077280).

81416793744000 is an abundant number, since it is smaller than the sum of its proper divisors (275239100410560).

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

81416793744000 is a wasteful number, since it uses less digits than its factorization.

81416793744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 81416793744000 in words is "eighty-one trillion, four hundred sixteen billion, seven hundred ninety-three million, seven hundred forty-four thousand".