25496064000 has 624 divisors, whose sum is σ = 100465432704. Its totient is φ = 6168576000.

The previous prime is 25496063993. The next prime is 25496064079. The reversal of 25496064000 is 46069452.

25496064000 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 6 + 0 + 640 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50687749 + ... + 50688251.

It is an arithmetic number, because the mean of its divisors is an integer number (161002296).

Almost surely, 2^25496064000 is an apocalyptic number.

25496064000 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 25496064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232716352).

25496064000 is an abundant number, since it is smaller than the sum of its proper divisors (74969368704).

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

25496064000 is a wasteful number, since it uses less digits than its factorization.

25496064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25496064000 in words is "twenty-five billion, four hundred ninety-six million, sixty-four thousand".