80908212971520 has 1152 divisors, whose sum is σ = 318398027351040. Its totient is φ = 18980506828800.

The previous prime is 80908212971503. The next prime is 80908212971561. The reversal of 80908212971520 is 2517921280908.

80908212971520 is a `hidden beast` number, since 8 + 0 + 9 + 0 + 8 + 21 + 2 + 97 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×80908212971520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3802603122 + ... + 3802624398.

It is an arithmetic number, because the mean of its divisors is an integer number (276387176520).

Almost surely, 2^{80908212971520} is an apocalyptic number.

80908212971520 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 80908212971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159199013675520).

80908212971520 is an abundant number, since it is smaller than the sum of its proper divisors (237489814379520).

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

80908212971520 is a wasteful number, since it uses less digits than its factorization.

80908212971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 80908212971520 in words is "eighty trillion, nine hundred eight billion, two hundred twelve million, nine hundred seventy-one thousand, five hundred twenty".