10890547200 has 780 divisors, whose sum is σ = 43874501748. Its totient is φ = 2654208000.

The previous prime is 10890547139. The next prime is 10890547271. The reversal of 10890547200 is 274509801.

10890547200 is a `hidden beast` number, since 1 + 0 + 8 + 90 + 547 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21233664 + 10869313536 = 4608^2 + 104256^2 .

It is a tau number, because it is divible by the number of its divisors (780).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107827150 + ... + 107827250.

Almost surely, 2^10890547200 is an apocalyptic number.

10890547200 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 10890547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21937250874).

10890547200 is an abundant number, since it is smaller than the sum of its proper divisors (32983954548).

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

10890547200 is a wasteful number, since it uses less digits than its factorization.

10890547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10890547200 in words is "ten billion, eight hundred ninety million, five hundred forty-seven thousand, two hundred".