25783168320 has 1120 divisors, whose sum is σ = 119706225408. Its totient is φ = 5112004608.

The previous prime is 25783168297. The next prime is 25783168331. The reversal of 25783168320 is 2386138752.

25783168320 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 316 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 40097919 + ... + 40098561.

Almost surely, 2^25783168320 is an apocalyptic number.

25783168320 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 25783168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59853112704).

25783168320 is an abundant number, since it is smaller than the sum of its proper divisors (93923057088).

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

25783168320 is a wasteful number, since it uses less digits than its factorization.

25783168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25783168320 in words is "twenty-five billion, seven hundred eighty-three million, one hundred sixty-eight thousand, three hundred twenty".