25726062257280 has 3072 divisors, whose sum is σ = 124144151040000. Its totient is φ = 5029272944640.

The previous prime is 25726062257261. The next prime is 25726062257317. The reversal of 25726062257280 is 8275226062752.

25726062257280 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 6 + 0 + 62 + 2 + 572 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9975207031 + ... + 9975209609.

It is an arithmetic number, because the mean of its divisors is an integer number (40411507500).

Almost surely, 2^{25726062257280} is an apocalyptic number.

25726062257280 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 25726062257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62072075520000).

25726062257280 is an abundant number, since it is smaller than the sum of its proper divisors (98418088782720).

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

25726062257280 is a wasteful number, since it uses less digits than its factorization.

25726062257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 25726062257280 in words is "twenty-five trillion, seven hundred twenty-six billion, sixty-two million, two hundred fifty-seven thousand, two hundred eighty".