81152522922240 has 3456 divisors, whose sum is σ = 385183630540800. Its totient is φ = 15848050360320.

The previous prime is 81152522922227. The next prime is 81152522922271. The reversal of 81152522922240 is 4222922525118.

81152522922240 is a `hidden beast` number, since 8 + 1 + 15 + 2 + 522 + 92 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 63252160639 + ... + 63252161921.

It is an arithmetic number, because the mean of its divisors is an integer number (111453596800).

Almost surely, 2^{81152522922240} is an apocalyptic number.

81152522922240 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 81152522922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192591815270400).

81152522922240 is an abundant number, since it is smaller than the sum of its proper divisors (304031107618560).

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

81152522922240 is a wasteful number, since it uses less digits than its factorization.

81152522922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 81152522922240 in words is "eighty-one trillion, one hundred fifty-two billion, five hundred twenty-two million, nine hundred twenty-two thousand, two hundred forty".