92000910000900 has 288 divisors, whose sum is σ = 270910300131072. Its totient is φ = 24102575308800.

The previous prime is 92000910000877. The next prime is 92000910000913. The reversal of 92000910000900 is 900001900029.

It is a super-3 number, since 3×92000910000900³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3698219262 + ... + 3698244138.

It is an arithmetic number, because the mean of its divisors is an integer number (940660764344).

Almost surely, 2^{92000910000900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92000910000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135455150065536).

92000910000900 is an abundant number, since it is smaller than the sum of its proper divisors (178909390130172).

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

92000910000900 is a wasteful number, since it uses less digits than its factorization.

92000910000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25919 (or 25912 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

Adding to 92000910000900 its reverse (900001900029), we get a palindrome (92900911900929).

The spelling of 92000910000900 in words is "ninety-two trillion, nine hundred ten million, nine hundred", and thus it is an aban number.