25073997742080 has 1280 divisors, whose sum is σ = 105141434808960. Its totient is φ = 5597023961088.

The previous prime is 25073997742039. The next prime is 25073997742081. The reversal of 25073997742080 is 8024779937052.

25073997742080 is a `hidden beast` number, since 2 + 50 + 7 + 3 + 99 + 77 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 25073997741999 and 25073997742017.

It is not an unprimeable number, because it can be changed into a prime (25073997742081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3994579902 + ... + 3994586178.

Almost surely, 2^{25073997742080} is an apocalyptic number.

25073997742080 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 25073997742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52570717404480).

25073997742080 is an abundant number, since it is smaller than the sum of its proper divisors (80067437066880).

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

25073997742080 is an frugal number, since it uses more digits than its factorization.

25073997742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 25073997742080 in words is "twenty-five trillion, seventy-three billion, nine hundred ninety-seven million, seven hundred forty-two thousand, eighty".