93538381680 has 480 divisors, whose sum is σ = 346632099840. Its totient is φ = 22499389440.

The previous prime is 93538381669. The next prime is 93538381709. The reversal of 93538381680 is 8618383539.

It is a happy number.

93538381680 is a `hidden beast` number, since 93 + 538 + 3 + 8 + 16 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85266892 + ... + 85267988.

It is an arithmetic number, because the mean of its divisors is an integer number (722150208).

Almost surely, 2^93538381680 is an apocalyptic number.

93538381680 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 93538381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173316049920).

93538381680 is an abundant number, since it is smaller than the sum of its proper divisors (253093718160).

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

93538381680 is a wasteful number, since it uses less digits than its factorization.

93538381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 93538381680 in words is "ninety-three billion, five hundred thirty-eight million, three hundred eighty-one thousand, six hundred eighty".