97940171520 has 720 divisors, whose sum is σ = 374327841888. Its totient is φ = 24365629440.

The previous prime is 97940171477. The next prime is 97940171557. The reversal of 97940171520 is 2517104979.

97940171520 is a `hidden beast` number, since 9 + 79 + 40 + 17 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×97940171520² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 319023207 + ... + 319023513.

Almost surely, 2^97940171520 is an apocalyptic number.

97940171520 is a gapful number since it is divisible by the number (90) 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 97940171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187163920944).

97940171520 is an abundant number, since it is smaller than the sum of its proper divisors (276387670368).

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

97940171520 is a wasteful number, since it uses less digits than its factorization.

97940171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 97940171520 in words is "ninety-seven billion, nine hundred forty million, one hundred seventy-one thousand, five hundred twenty".