25562166870240 has 5760 divisors, whose sum is σ = 132888786395904. Its totient is φ = 4484549836800.

The previous prime is 25562166870197. The next prime is 25562166870313. The reversal of 25562166870240 is 4207866126552.

25562166870240 is a `hidden beast` number, since 2 + 5 + 5 + 621 + 6 + 6 + 8 + 7 + 0 + 2 + 4 + 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 959 ways as a sum of consecutive naturals, for example, 99463684192 + ... + 99463684448.

Almost surely, 2^{25562166870240} is an apocalyptic number.

25562166870240 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 25562166870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66444393197952).

25562166870240 is an abundant number, since it is smaller than the sum of its proper divisors (107326619525664).

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

25562166870240 is a wasteful number, since it uses less digits than its factorization.

25562166870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 25562166870240 in words is "twenty-five trillion, five hundred sixty-two billion, one hundred sixty-six million, eight hundred seventy thousand, two hundred forty".