10064225808000 has 3072 divisors, whose sum is σ = 46963058688000. Its totient is φ = 2073301401600.

The previous prime is 10064225807851. The next prime is 10064225808023. The reversal of 10064225808000 is 80852246001.

10064225808000 is a `hidden beast` number, since 1 + 0 + 0 + 642 + 2 + 5 + 8 + 0 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10064225808000² (a number of 27 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 24019631791 + ... + 24019632209.

It is an arithmetic number, because the mean of its divisors is an integer number (15287454000).

Almost surely, 2^{10064225808000} is an apocalyptic number.

10064225808000 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 10064225808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23481529344000).

10064225808000 is an abundant number, since it is smaller than the sum of its proper divisors (36898832880000).

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

10064225808000 is a wasteful number, since it uses less digits than its factorization.

10064225808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10064225808000 in words is "ten trillion, sixty-four billion, two hundred twenty-five million, eight hundred eight thousand".