25451683920 has 720 divisors, whose sum is σ = 98325706752. Its totient is φ = 6113802240.

The previous prime is 25451683877. The next prime is 25451683921. The reversal of 25451683920 is 2938615452.

25451683920 is a `hidden beast` number, since 2 + 54 + 516 + 83 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25451683921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 200406897 + ... + 200407023.

Almost surely, 2^25451683920 is an apocalyptic number.

25451683920 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 25451683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49162853376).

25451683920 is an abundant number, since it is smaller than the sum of its proper divisors (72874022832).

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

25451683920 is a wasteful number, since it uses less digits than its factorization.

25451683920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25451683920 in words is "twenty-five billion, four hundred fifty-one million, six hundred eighty-three thousand, nine hundred twenty".