25930047037440 has 2688 divisors, whose sum is σ = 111946858168320. Its totient is φ = 4976321495040.

The previous prime is 25930047037393. The next prime is 25930047037541. The reversal of 25930047037440 is 4473074003952.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25930047037440.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 204173598657 + ... + 204173598783.

It is an arithmetic number, because the mean of its divisors is an integer number (41646896640).

Almost surely, 2^{25930047037440} is an apocalyptic number.

25930047037440 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 25930047037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55973429084160).

25930047037440 is an abundant number, since it is smaller than the sum of its proper divisors (86016811130880).

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

25930047037440 is a wasteful number, since it uses less digits than its factorization.

25930047037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 25930047037440 in words is "twenty-five trillion, nine hundred thirty billion, forty-seven million, thirty-seven thousand, four hundred forty".