10055162880 has 352 divisors, whose sum is σ = 40843054080. Its totient is φ = 2298101760.

The previous prime is 10055162867. The next prime is 10055162899. The reversal of 10055162880 is 8826155001.

10055162880 is a `hidden beast` number, since 1 + 0 + 0 + 551 + 6 + 28 + 80 = 666.

It is a super-2 number, since 2×10055162880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 962485 + ... + 972875.

Almost surely, 2^10055162880 is an apocalyptic number.

10055162880 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 10055162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20421527040).

10055162880 is an abundant number, since it is smaller than the sum of its proper divisors (30787891200).

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

10055162880 is a wasteful number, since it uses less digits than its factorization.

10055162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 10055162880 in words is "ten billion, fifty-five million, one hundred sixty-two thousand, eight hundred eighty".