25920805248000 has 2816 divisors, whose sum is σ = 109595968634880. Its totient is φ = 5995855872000.

The previous prime is 25920805247989. The next prime is 25920805248017. The reversal of 25920805248000 is 84250802952.

25920805248000 is a `hidden beast` number, since 2 + 5 + 92 + 0 + 80 + 5 + 2 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51532415749 + ... + 51532416251.

Almost surely, 2^{25920805248000} is an apocalyptic number.

25920805248000 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 25920805248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54797984317440).

25920805248000 is an abundant number, since it is smaller than the sum of its proper divisors (83675163386880).

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

25920805248000 is a wasteful number, since it uses less digits than its factorization.

25920805248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 25920805248000 in words is "twenty-five trillion, nine hundred twenty billion, eight hundred five million, two hundred forty-eight thousand".