97952803200 has 1152 divisors, whose sum is σ = 441861674400. Its totient is φ = 21056716800.

The previous prime is 97952803187. The next prime is 97952803253. The reversal of 97952803200 is 230825979.

97952803200 is a `hidden beast` number, since 97 + 9 + 528 + 0 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 71970520 + ... + 71971880.

Almost surely, 2^97952803200 is an apocalyptic number.

97952803200 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 97952803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220930837200).

97952803200 is an abundant number, since it is smaller than the sum of its proper divisors (343908871200).

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

97952803200 is a wasteful number, since it uses less digits than its factorization.

97952803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1395 counting only the distinct ones).

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

The spelling of 97952803200 in words is "ninety-seven billion, nine hundred fifty-two million, eight hundred three thousand, two hundred".