97935691140 has 192 divisors, whose sum is σ = 366543206400. Its totient is φ = 21207111552.

The previous prime is 97935691093. The next prime is 97935691141. The reversal of 97935691140 is 4119653979.

97935691140 is a `hidden beast` number, since 9 + 79 + 3 + 569 + 1 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97935691141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609994 + ... + 753633.

It is an arithmetic number, because the mean of its divisors is an integer number (1909079200).

Almost surely, 2^97935691140 is an apocalyptic number.

97935691140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97935691140 is an abundant number, since it is smaller than the sum of its proper divisors (268607515260).

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

97935691140 is a wasteful number, since it uses less digits than its factorization.

97935691140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363671 (or 1363663 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 97935691140 in words is "ninety-seven billion, nine hundred thirty-five million, six hundred ninety-one thousand, one hundred forty".