25051693680 has 480 divisors, whose sum is σ = 96431078016. Its totient is φ = 5773787136.

The previous prime is 25051693631. The next prime is 25051693687. The reversal of 25051693680 is 8639615052.

25051693680 is a `hidden beast` number, since 2 + 50 + 516 + 9 + 3 + 6 + 80 = 666.

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 (25051693687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49804309 + ... + 49804811.

Almost surely, 2^25051693680 is an apocalyptic number.

25051693680 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 25051693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48215539008).

25051693680 is an abundant number, since it is smaller than the sum of its proper divisors (71379384336).

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

25051693680 is a wasteful number, since it uses less digits than its factorization.

25051693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 25051693680 in words is "twenty-five billion, fifty-one million, six hundred ninety-three thousand, six hundred eighty".