25540451640000 has 840 divisors, whose sum is σ = 99884214782352. Its totient is φ = 6186147840000.

The previous prime is 25540451639971. The next prime is 25540451640019. The reversal of 25540451640000 is 4615404552.

25540451640000 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 0 + 4 + 5 + 1 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6149877924 + ... + 6149882076.

Almost surely, 2^{25540451640000} is an apocalyptic number.

25540451640000 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 25540451640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49942107391176).

25540451640000 is an abundant number, since it is smaller than the sum of its proper divisors (74343763142352).

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

25540451640000 is a wasteful number, since it uses less digits than its factorization.

25540451640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 25540451640000 in words is "twenty-five trillion, five hundred forty billion, four hundred fifty-one million, six hundred forty thousand".