25798901760000 has 1100 divisors, whose sum is σ = 96713261983932. Its totient is φ = 6879707136000.

The previous prime is 25798901759999. The next prime is 25798901760053. The reversal of 25798901760000 is 6710989752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)⁴ ⋅ 4! ⋅ (2!)².

25798901760000 is a `hidden beast` number, since 2 + 579 + 8 + 9 + 0 + 1 + 7 + 60 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 5159780351998 + ... + 5159780352002.

Almost surely, 2^{25798901760000} is an apocalyptic number.

25798901760000 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 25798901760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48356630991966).

25798901760000 is an abundant number, since it is smaller than the sum of its proper divisors (70914360223932).

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

25798901760000 is an frugal number, since it uses more digits than its factorization.

25798901760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

25798901760000 divided by its sum of digits (54) gives a square (477757440000 = 691200²).

The spelling of 25798901760000 in words is "twenty-five trillion, seven hundred ninety-eight billion, nine hundred one million, seven hundred sixty thousand".