97554661920 has 288 divisors, whose sum is σ = 350764307712. Its totient is φ = 24641058816.

The previous prime is 97554661909. The next prime is 97554661931. The reversal of 97554661920 is 2916645579.

97554661920 is a `hidden beast` number, since 9 + 7 + 5 + 546 + 6 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97554661909) and next prime (97554661931).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3397062 + ... + 3425658.

It is an arithmetic number, because the mean of its divisors is an integer number (1217931624).

Almost surely, 2^97554661920 is an apocalyptic number.

97554661920 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 97554661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175382153856).

97554661920 is an abundant number, since it is smaller than the sum of its proper divisors (253209645792).

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

97554661920 is a wasteful number, since it uses less digits than its factorization.

97554661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28744 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 97554661920 in words is "ninety-seven billion, five hundred fifty-four million, six hundred sixty-one thousand, nine hundred twenty".