93897120408 has 512 divisors, whose sum is σ = 329599549440. Its totient is φ = 21568757760.

The previous prime is 93897120353. The next prime is 93897120419. The reversal of 93897120408 is 80402179839.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26470491 + ... + 26474037.

It is an arithmetic number, because the mean of its divisors is an integer number (643749120).

Almost surely, 2^93897120408 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 93897120408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799774720).

93897120408 is an abundant number, since it is smaller than the sum of its proper divisors (235702429032).

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

93897120408 is a wasteful number, since it uses less digits than its factorization.

93897120408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 93897120408 in words is "ninety-three billion, eight hundred ninety-seven million, one hundred twenty thousand, four hundred eight".