97955953452900 has 243 divisors, whose sum is σ = 310144211153049. Its totient is φ = 25859903768640.

The previous prime is 97955953452893. The next prime is 97955953452911. The reversal of 97955953452900 is 925435955979.

The square root of 97955953452900 is 9897270.

It is a perfect power (a square), and thus also a powerful number.

97955953452900 is a `hidden beast` number, since 9 + 7 + 9 + 5 + 5 + 95 + 3 + 4 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35264143243044 + 62691810209856 = 5938362^2 + 7917816^2 .

It is a super-2 number, since 2×97955953452900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30582562699 + ... + 30582565901.

Almost surely, 2^{97955953452900} is an apocalyptic number.

97955953452900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97955953452900 is the 9897270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97955953452900

97955953452900 is an abundant number, since it is smaller than the sum of its proper divisors (212188257700149).

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

97955953452900 is a wasteful number, since it uses less digits than its factorization.

97955953452900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 688905000, while the sum is 72.

The spelling of 97955953452900 in words is "ninety-seven trillion, nine hundred fifty-five billion, nine hundred fifty-three million, four hundred fifty-two thousand, nine hundred".