25098701981280 has 192 divisors, whose sum is σ = 80150807233728. Its totient is φ = 6600736604160.

The previous prime is 25098701981279. The next prime is 25098701981329. The reversal of 25098701981280 is 8218910789052.

It is a super-2 number, since 2×25098701981280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548738572 + ... + 548784308.

It is an arithmetic number, because the mean of its divisors is an integer number (417452121009).

Almost surely, 2^{25098701981280} is an apocalyptic number.

25098701981280 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 25098701981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075403616864).

25098701981280 is an abundant number, since it is smaller than the sum of its proper divisors (55052105252448).

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

25098701981280 is a wasteful number, since it uses less digits than its factorization.

25098701981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61489 (or 61481 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 60.

The spelling of 25098701981280 in words is "twenty-five trillion, ninety-eight billion, seven hundred one million, nine hundred eighty-one thousand, two hundred eighty".