25162421264000 has 256 divisors, whose sum is σ = 62810177189760. Its totient is φ = 10024814592000.

The previous prime is 25162421263939. The next prime is 25162421264009. The reversal of 25162421264000 is 46212426152.

It is not an unprimeable number, because it can be changed into a prime (25162421264009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4557581240 + ... + 4557586760.

Almost surely, 2^{25162421264000} is an apocalyptic number.

25162421264000 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 25162421264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31405088594880).

25162421264000 is an abundant number, since it is smaller than the sum of its proper divisors (37647755925760).

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

25162421264000 is an equidigital number, since it uses as much as digits as its factorization.

25162421264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 25162421264000 in words is "twenty-five trillion, one hundred sixty-two billion, four hundred twenty-one million, two hundred sixty-four thousand".