97121756160 has 1408 divisors, whose sum is σ = 430832908800. Its totient is φ = 20455096320.

The previous prime is 97121756159. The next prime is 97121756191. The reversal of 97121756160 is 6165712179.

97121756160 is a `hidden beast` number, since 9 + 7 + 1 + 21 + 7 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 5713044472 + ... + 5713044488.

Almost surely, 2^97121756160 is an apocalyptic number.

97121756160 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 97121756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215416454400).

97121756160 is an abundant number, since it is smaller than the sum of its proper divisors (333711152640).

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

97121756160 is a wasteful number, since it uses less digits than its factorization.

97121756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

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

The spelling of 97121756160 in words is "ninety-seven billion, one hundred twenty-one million, seven hundred fifty-six thousand, one hundred sixty".