97761504407400 has 144 divisors (see below), whose sum is σ = 328341364366860. Its totient is φ = 26067698150400.

The previous prime is 97761504407383. The next prime is 97761504407401. The reversal of 97761504407400 is 470440516779.

It is a happy number.

97761504407400 is a `hidden beast` number, since 9 + 7 + 7 + 6 + 150 + 440 + 7 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24367432850244 + 73394071557156 = 4936338^2 + 8567034^2 .

It is not an unprimeable number, because it can be changed into a prime (97761504407401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20999014 + ... + 25228586.

Almost surely, 2^{97761504407400} is an apocalyptic number.

97761504407400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97761504407400 is an abundant number, since it is smaller than the sum of its proper divisors (230579859959460).

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

97761504407400 is a wasteful number, since it uses less digits than its factorization.

97761504407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242436 (or 4242424 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 97761504407400 in words is "ninety-seven trillion, seven hundred sixty-one billion, five hundred four million, four hundred seven thousand, four hundred".