25630774726320 has 960 divisors, whose sum is σ = 99276503040000. Its totient is φ = 5887561236480.

The previous prime is 25630774726309. The next prime is 25630774726327. The reversal of 25630774726320 is 2362747703652.

25630774726320 is a `hidden beast` number, since 2 + 5 + 6 + 307 + 7 + 4 + 7 + 2 + 6 + 320 = 666.

It is a super-2 number, since 2×25630774726320² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25630774726327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 776697181 + ... + 776730179.

It is an arithmetic number, because the mean of its divisors is an integer number (103413024000).

Almost surely, 2^{25630774726320} is an apocalyptic number.

25630774726320 is a gapful number since it is divisible by the number (20) 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 25630774726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49638251520000).

25630774726320 is an abundant number, since it is smaller than the sum of its proper divisors (73645728313680).

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

25630774726320 is a wasteful number, since it uses less digits than its factorization.

25630774726320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33178 (or 33169 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 25630774726320 in words is "twenty-five trillion, six hundred thirty billion, seven hundred seventy-four million, seven hundred twenty-six thousand, three hundred twenty".