97053616800 has 864 divisors, whose sum is σ = 411589406592. Its totient is φ = 21857402880.

The previous prime is 97053616763. The next prime is 97053616813. The reversal of 97053616800 is 861635079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×97053616800² (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 143 ways as a sum of consecutive naturals, for example, 99337912 + ... + 99338888.

It is an arithmetic number, because the mean of its divisors is an integer number (476376628).

Almost surely, 2^97053616800 is an apocalyptic number.

97053616800 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 97053616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205794703296).

97053616800 is an abundant number, since it is smaller than the sum of its proper divisors (314535789792).

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

97053616800 is a wasteful number, since it uses less digits than its factorization.

97053616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 97053616800 in words is "ninety-seven billion, fifty-three million, six hundred sixteen thousand, eight hundred".