10889831377152 has 432 divisors, whose sum is σ = 38794333468800. Its totient is φ = 2860854018048.

The previous prime is 10889831377069. The next prime is 10889831377163. The reversal of 10889831377152 is 25177313898801.

10889831377152 is a `hidden beast` number, since 1 + 0 + 8 + 89 + 8 + 31 + 377 + 152 = 666.

10889831377152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10889831377152² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10889831377152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53782599 + ... + 53984697.

Almost surely, 2^{10889831377152} is an apocalyptic number.

10889831377152 is a gapful number since it is divisible by the number (12) 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 10889831377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397166734400).

10889831377152 is an abundant number, since it is smaller than the sum of its proper divisors (27904502091648).

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

10889831377152 is a wasteful number, since it uses less digits than its factorization.

10889831377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202398 (or 202381 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 10889831377152 in words is "ten trillion, eight hundred eighty-nine billion, eight hundred thirty-one million, three hundred seventy-seven thousand, one hundred fifty-two".