10890622955520 has 3328 divisors, whose sum is σ = 51404482805760. Its totient is φ = 2121243033600.

The previous prime is 10890622955477. The next prime is 10890622955533. The reversal of 10890622955520 is 2555922609801.

10890622955520 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 0 + 6 + 22 + 95 + 5 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48836874129 + ... + 48836874351.

Almost surely, 2^{10890622955520} is an apocalyptic number.

10890622955520 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 10890622955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25702241402880).

10890622955520 is an abundant number, since it is smaller than the sum of its proper divisors (40513859850240).

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

10890622955520 is a wasteful number, since it uses less digits than its factorization.

10890622955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 10890622955520 in words is "ten trillion, eight hundred ninety billion, six hundred twenty-two million, nine hundred fifty-five thousand, five hundred twenty".