97125390950400 has 4032 divisors, whose sum is σ = 416879710490880. Its totient is φ = 21426182553600.

The previous prime is 97125390950387. The next prime is 97125390950411. The reversal of 97125390950400 is 405909352179.

97125390950400 is a `hidden beast` number, since 9 + 7 + 12 + 53 + 90 + 95 + 0 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 561418444714 + ... + 561418444886.

It is an arithmetic number, because the mean of its divisors is an integer number (103392785340).

Almost surely, 2^{97125390950400} is an apocalyptic number.

97125390950400 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 97125390950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208439855245440).

97125390950400 is an abundant number, since it is smaller than the sum of its proper divisors (319754319540480).

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

97125390950400 is a wasteful number, since it uses less digits than its factorization.

97125390950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 97125390950400 in words is "ninety-seven trillion, one hundred twenty-five billion, three hundred ninety million, nine hundred fifty thousand, four hundred".