90271930012992 has 896 divisors, whose sum is σ = 360874850918400. Its totient is φ = 21433257787392.

The previous prime is 90271930012981. The next prime is 90271930012997. The reversal of 90271930012992 is 29921003917209.

90271930012992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90271930012997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60749859 + ... + 62218077.

It is an arithmetic number, because the mean of its divisors is an integer number (402762110400).

Almost surely, 2^{90271930012992} is an apocalyptic number.

90271930012992 is a gapful number since it is divisible by the number (92) 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 90271930012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180437425459200).

90271930012992 is an abundant number, since it is smaller than the sum of its proper divisors (270602920905408).

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

90271930012992 is a wasteful number, since it uses less digits than its factorization.

90271930012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468300 (or 1468284 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 90271930012992 in words is "ninety trillion, two hundred seventy-one billion, nine hundred thirty million, twelve thousand, nine hundred ninety-two".