93770161920 has 1152 divisors, whose sum is σ = 371687500800. Its totient is φ = 22574039040.

The previous prime is 93770161889. The next prime is 93770161993. The reversal of 93770161920 is 2916107739.

93770161920 is a `hidden beast` number, since 9 + 3 + 7 + 7 + 0 + 1 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2180701419 + ... + 2180701461.

It is an arithmetic number, because the mean of its divisors is an integer number (322645400).

Almost surely, 2^93770161920 is an apocalyptic number.

93770161920 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 93770161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185843750400).

93770161920 is an abundant number, since it is smaller than the sum of its proper divisors (277917338880).

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

93770161920 is an equidigital number, since it uses as much as digits as its factorization.

93770161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 93770161920 in words is "ninety-three billion, seven hundred seventy million, one hundred sixty-one thousand, nine hundred twenty".