92013485760 has 2016 divisors, whose sum is σ = 424972154880. Its totient is φ = 18811699200.

The previous prime is 92013485743. The next prime is 92013485761. The reversal of 92013485760 is 6758431029.

92013485760 is a `hidden beast` number, since 9 + 20 + 13 + 48 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (92013485761) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2244231340 + ... + 2244231380.

It is an arithmetic number, because the mean of its divisors is an integer number (210799680).

It is a 1-persistent number, because it is pandigital, but 2⋅92013485760 = 184026971520 is not.

Almost surely, 2^92013485760 is an apocalyptic number.

92013485760 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 92013485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486077440).

92013485760 is an abundant number, since it is smaller than the sum of its proper divisors (332958669120).

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

92013485760 is a wasteful number, since it uses less digits than its factorization.

92013485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 92013485760 in words is "ninety-two billion, thirteen million, four hundred eighty-five thousand, seven hundred sixty".