10890337152 has 64 divisors (see below), whose sum is σ = 29079106560. Its totient is φ = 3611082240.

The previous prime is 10890337099. The next prime is 10890337163. The reversal of 10890337152 is 25173309801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10890337152² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10890337152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898 + ... + 147585.

It is an arithmetic number, because the mean of its divisors is an integer number (454361040).

Almost surely, 2^10890337152 is an apocalyptic number.

10890337152 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 10890337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539553280).

10890337152 is an abundant number, since it is smaller than the sum of its proper divisors (18188769408).

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

10890337152 is a wasteful number, since it uses less digits than its factorization.

10890337152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148691 (or 148679 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 10890337152 in words is "ten billion, eight hundred ninety million, three hundred thirty-seven thousand, one hundred fifty-two".