90891370080 has 1440 divisors, whose sum is σ = 407119426560. Its totient is φ = 19046845440.

The previous prime is 90891370051. The next prime is 90891370081. The reversal of 90891370080 is 8007319809.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×90891370080² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90891370081) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2931979665 + ... + 2931979695.

It is an arithmetic number, because the mean of its divisors is an integer number (282721824).

Almost surely, 2^90891370080 is an apocalyptic number.

90891370080 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 90891370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203559713280).

90891370080 is an abundant number, since it is smaller than the sum of its proper divisors (316228056480).

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

90891370080 is an equidigital number, since it uses as much as digits as its factorization.

90891370080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

Adding to 90891370080 its reverse (8007319809), we get a palindrome (98898689889).

The spelling of 90891370080 in words is "ninety billion, eight hundred ninety-one million, three hundred seventy thousand, eighty".