97250918400 has 1080 divisors, whose sum is σ = 385377667584. Its totient is φ = 23357030400.

The previous prime is 97250918383. The next prime is 97250918407. The reversal of 97250918400 is 481905279.

97250918400 is a `hidden beast` number, since 97 + 2 + 509 + 18 + 40 + 0 = 666.

It is a super-2 number, since 2×97250918400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97250918407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2628403182 + ... + 2628403218.

Almost surely, 2^97250918400 is an apocalyptic number.

97250918400 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 97250918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192688833792).

97250918400 is an abundant number, since it is smaller than the sum of its proper divisors (288126749184).

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

97250918400 is a wasteful number, since it uses less digits than its factorization.

97250918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 97250918400 in words is "ninety-seven billion, two hundred fifty million, nine hundred eighteen thousand, four hundred".