97250883840 has 432 divisors, whose sum is σ = 371234223360. Its totient is φ = 23308369920.

The previous prime is 97250883803. The next prime is 97250883841. The reversal of 97250883840 is 4838805279.

It is a happy number.

97250883840 is a `hidden beast` number, since 9 + 7 + 250 + 8 + 8 + 384 + 0 = 666.

It is a super-2 number, since 2×97250883840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97250883841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11273769 + ... + 11282391.

It is an arithmetic number, because the mean of its divisors is an integer number (859338480).

Almost surely, 2^97250883840 is an apocalyptic number.

97250883840 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 97250883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185617111680).

97250883840 is an abundant number, since it is smaller than the sum of its proper divisors (273983339520).

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

97250883840 is a wasteful number, since it uses less digits than its factorization.

97250883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 97250883840 in words is "ninety-seven billion, two hundred fifty million, eight hundred eighty-three thousand, eight hundred forty".