97772875200 has 4032 divisors, whose sum is σ = 542890252800. Its totient is φ = 16721510400.

The previous prime is 97772875153. The next prime is 97772875229. The reversal of 97772875200 is 257827779.

97772875200 is a `hidden beast` number, since 97 + 7 + 7 + 28 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5145940791 + ... + 5145940809.

It is an arithmetic number, because the mean of its divisors is an integer number (134645400).

97772875200 is a highly composite number, because it has more divisors than any smaller number.

Almost surely, 2^97772875200 is an apocalyptic number.

97772875200 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 97772875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271445126400).

97772875200 is an abundant number, since it is smaller than the sum of its proper divisors (445117377600).

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

97772875200 is a wasteful number, since it uses less digits than its factorization.

97772875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 97772875200 in words is "ninety-seven billion, seven hundred seventy-two million, eight hundred seventy-five thousand, two hundred".