10612604800 has 192 divisors, whose sum is σ = 31265856000. Its totient is φ = 3480238080.

The previous prime is 10612604771. The next prime is 10612604867. The reversal of 10612604800 is 840621601.

It is a super-2 number, since 2×10612604800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504901 + ... + 525499.

It is an arithmetic number, because the mean of its divisors is an integer number (162843000).

Almost surely, 2^10612604800 is an apocalyptic number.

10612604800 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 10612604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15632928000).

10612604800 is an abundant number, since it is smaller than the sum of its proper divisors (20653251200).

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

10612604800 is a wasteful number, since it uses less digits than its factorization.

10612604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20653 (or 20636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 10612604800 in words is "ten billion, six hundred twelve million, six hundred four thousand, eight hundred".