10879151040 has 224 divisors, whose sum is σ = 38524403520. Its totient is φ = 2890137600.

The previous prime is 10879151021. The next prime is 10879151051. The reversal of 10879151040 is 4015197801.

10879151040 is a `hidden beast` number, since 10 + 8 + 7 + 91 + 510 + 40 = 666.

It is a super-2 number, since 2×10879151040² (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 junction number, because it is equal to n+sod(n) for n = 10879150986 and 10879151004.

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, 2425600 + ... + 2430080.

Almost surely, 2^10879151040 is an apocalyptic number.

10879151040 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 10879151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262201760).

10879151040 is an abundant number, since it is smaller than the sum of its proper divisors (27645252480).

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

10879151040 is a wasteful number, since it uses less digits than its factorization.

10879151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 10879151040 in words is "ten billion, eight hundred seventy-nine million, one hundred fifty-one thousand, forty".