97653905888 has 96 divisors (see below), whose sum is σ = 240169950720. Its totient is φ = 37971740160.

The previous prime is 97653905887. The next prime is 97653905917. The reversal of 97653905888 is 88850935679.

It is a super-2 number, since 2×97653905888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97653905887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215245 + ... + 1293107.

It is an arithmetic number, because the mean of its divisors is an integer number (2501770320).

Almost surely, 2^97653905888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97653905888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120084975360).

97653905888 is an abundant number, since it is smaller than the sum of its proper divisors (142516044832).

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

97653905888 is a wasteful number, since it uses less digits than its factorization.

97653905888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78400 (or 78392 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 68.

The spelling of 97653905888 in words is "ninety-seven billion, six hundred fifty-three million, nine hundred five thousand, eight hundred eighty-eight".