10090058880 has 256 divisors, whose sum is σ = 35187747840. Its totient is φ = 2438983680.

The previous prime is 10090058863. The next prime is 10090058897. The reversal of 10090058880 is 8885009001.

It is an interprime number because it is at equal distance from previous prime (10090058863) and next prime (10090058897).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13579789 + ... + 13580531.

It is an arithmetic number, because the mean of its divisors is an integer number (137452140).

Almost surely, 2^10090058880 is an apocalyptic number.

10090058880 is a gapful number since it is divisible by the number (10) 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 10090058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593873920).

10090058880 is an abundant number, since it is smaller than the sum of its proper divisors (25097688960).

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

10090058880 is a wasteful number, since it uses less digits than its factorization.

10090058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The spelling of 10090058880 in words is "ten billion, ninety million, fifty-eight thousand, eight hundred eighty".