1051721625600 has 1560 divisors, whose sum is σ = 4203103528800. Its totient is φ = 259263037440.

The previous prime is 1051721625569. The next prime is 1051721625601. The reversal of 1051721625600 is 65261271501.

1051721625600 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 7 + 21 + 6 + 25 + 600 = 666.

It is a super-2 number, since 2×1051721625600² (a number of 25 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 not an unprimeable number, because it can be changed into a prime (1051721625601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7058534326 + ... + 7058534474.

Almost surely, 2^{1051721625600} is an apocalyptic number.

1051721625600 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 1051721625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101551764400).

1051721625600 is an abundant number, since it is smaller than the sum of its proper divisors (3151381903200).

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

1051721625600 is a wasteful number, since it uses less digits than its factorization.

1051721625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1051721625600 in words is "one trillion, fifty-one billion, seven hundred twenty-one million, six hundred twenty-five thousand, six hundred".