25870242048 has 576 divisors, whose sum is σ = 88583362560. Its totient is φ = 6531710976.

The previous prime is 25870242023. The next prime is 25870242049. The reversal of 25870242048 is 84024207852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (25870242049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113965711 + ... + 113965937.

It is an arithmetic number, because the mean of its divisors is an integer number (153790560).

Almost surely, 2^25870242048 is an apocalyptic number.

25870242048 is a gapful number since it is divisible by the number (28) 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 25870242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291681280).

25870242048 is an abundant number, since it is smaller than the sum of its proper divisors (62713120512).

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

25870242048 is a wasteful number, since it uses less digits than its factorization.

25870242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 25870242048 in words is "twenty-five billion, eight hundred seventy million, two hundred forty-two thousand, forty-eight".