10895400504 has 128 divisors (see below), whose sum is σ = 32727628800. Its totient is φ = 3345384960.

The previous prime is 10895400491. The next prime is 10895400533. The reversal of 10895400504 is 40500459801.

10895400504 is a `hidden beast` number, since 108 + 9 + 5 + 40 + 0 + 504 = 666.

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, 141019 + ... + 204149.

It is an arithmetic number, because the mean of its divisors is an integer number (255684600).

Almost surely, 2^10895400504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10895400504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363814400).

10895400504 is an abundant number, since it is smaller than the sum of its proper divisors (21832228296).

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

10895400504 is a wasteful number, since it uses less digits than its factorization.

10895400504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63210 (or 63200 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10895400504 in words is "ten billion, eight hundred ninety-five million, four hundred thousand, five hundred four".