25742241504 has 384 divisors, whose sum is σ = 91445760000. Its totient is φ = 6881324544.

The previous prime is 25742241487. The next prime is 25742241521. The reversal of 25742241504 is 40514224752.

25742241504 is a `hidden beast` number, since 25 + 74 + 22 + 41 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (25742241487) and next prime (25742241521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9536347 + ... + 9539045.

It is an arithmetic number, because the mean of its divisors is an integer number (238140000).

Almost surely, 2^25742241504 is an apocalyptic number.

25742241504 is a gapful number since it is divisible by the number (24) 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 25742241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880000).

25742241504 is an abundant number, since it is smaller than the sum of its proper divisors (65703518496).

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

25742241504 is a wasteful number, since it uses less digits than its factorization.

25742241504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 25742241504 in words is "twenty-five billion, seven hundred forty-two million, two hundred forty-one thousand, five hundred four".