93872792160 has 480 divisors, whose sum is σ = 380330862912. Its totient is φ = 21359738880.

The previous prime is 93872792159. The next prime is 93872792161. The reversal of 93872792160 is 6129727839.

It is an interprime number because it is at equal distance from previous prime (93872792159) and next prime (93872792161).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×93872792160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 93872792097 and 93872792106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93872792161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21135540 + ... + 21139980.

Almost surely, 2^93872792160 is an apocalyptic number.

93872792160 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 93872792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190165431456).

93872792160 is an abundant number, since it is smaller than the sum of its proper divisors (286458070752).

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

93872792160 is a wasteful number, since it uses less digits than its factorization.

93872792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 93872792160 in words is "ninety-three billion, eight hundred seventy-two million, seven hundred ninety-two thousand, one hundred sixty".