25142264621250 has 240 divisors, whose sum is σ = 73193187532608. Its totient is φ = 5739037584000.

The previous prime is 25142264621249. The next prime is 25142264621261. The reversal of 25142264621250 is 5212646224152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 136434172 + ... + 136618328.

Almost surely, 2^{25142264621250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25142264621250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36596593766304).

25142264621250 is an abundant number, since it is smaller than the sum of its proper divisors (48050922911358).

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

25142264621250 is a wasteful number, since it uses less digits than its factorization.

25142264621250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184939 (or 184917 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 25142264621250 in words is "twenty-five trillion, one hundred forty-two billion, two hundred sixty-four million, six hundred twenty-one thousand, two hundred fifty".