25802921422080 has 1296 divisors, whose sum is σ = 101954417160960. Its totient is φ = 6015787008000.

The previous prime is 25802921422049. The next prime is 25802921422099. The reversal of 25802921422080 is 8022412920852.

25802921422080 is a `hidden beast` number, since 2 + 58 + 0 + 292 + 14 + 220 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4057697941 + ... + 4057704299.

It is an arithmetic number, because the mean of its divisors is an integer number (78668531760).

Almost surely, 2^{25802921422080} is an apocalyptic number.

25802921422080 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 25802921422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50977208580480).

25802921422080 is an abundant number, since it is smaller than the sum of its proper divisors (76151495738880).

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

25802921422080 is a wasteful number, since it uses less digits than its factorization.

25802921422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25802921422080 in words is "twenty-five trillion, eight hundred two billion, nine hundred twenty-one million, four hundred twenty-two thousand, eighty".