92975652000 has 1152 divisors, whose sum is σ = 435812203008. Its totient is φ = 18173952000.

The previous prime is 92975651969. The next prime is 92975652001. The reversal of 92975652000 is 25657929.

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 (92975652001) 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 191 ways as a sum of consecutive naturals, for example, 47123014 + ... + 47124986.

It is an arithmetic number, because the mean of its divisors is an integer number (378309204).

Almost surely, 2^92975652000 is an apocalyptic number.

92975652000 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 92975652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217906101504).

92975652000 is an abundant number, since it is smaller than the sum of its proper divisors (342836551008).

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

92975652000 is a wasteful number, since it uses less digits than its factorization.

92975652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 92975652000 in words is "ninety-two billion, nine hundred seventy-five million, six hundred fifty-two thousand".