25345377792 has 960 divisors, whose sum is σ = 96730951680. Its totient is φ = 6502809600.

The previous prime is 25345377773. The next prime is 25345377803. The reversal of 25345377792 is 29777354352.

It is a happy number.

25345377792 is a `hidden beast` number, since 2 + 5 + 34 + 537 + 7 + 79 + 2 = 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 95 ways as a sum of consecutive naturals, for example, 356977117 + ... + 356977187.

It is an arithmetic number, because the mean of its divisors is an integer number (100761408).

Almost surely, 2^25345377792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25345377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365475840).

25345377792 is an abundant number, since it is smaller than the sum of its proper divisors (71385573888).

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

25345377792 is a wasteful number, since it uses less digits than its factorization.

25345377792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 25345377792 in words is "twenty-five billion, three hundred forty-five million, three hundred seventy-seven thousand, seven hundred ninety-two".