10625808000 has 512 divisors, whose sum is σ = 37537044480. Its totient is φ = 2654208000.

The previous prime is 10625807999. The next prime is 10625808023. The reversal of 10625808000 is 80852601.

It is a super-2 number, since 2×10625808000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55055904 + ... + 55056096.

It is an arithmetic number, because the mean of its divisors is an integer number (73314540).

Almost surely, 2^10625808000 is an apocalyptic number.

10625808000 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 10625808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768522240).

10625808000 is an abundant number, since it is smaller than the sum of its proper divisors (26911236480).

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

10625808000 is a wasteful number, since it uses less digits than its factorization.

10625808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 10625808000 in words is "ten billion, six hundred twenty-five million, eight hundred eight thousand".