25786037340 has 864 divisors, whose sum is σ = 102478521600. Its totient is φ = 5408363520.

The previous prime is 25786037339. The next prime is 25786037369. The reversal of 25786037340 is 4373068752.

25786037340 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 603 + 7 + 34 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 185510991 + ... + 185511129.

It is an arithmetic number, because the mean of its divisors is an integer number (118609400).

Almost surely, 2^25786037340 is an apocalyptic number.

25786037340 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 25786037340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51239260800).

25786037340 is an abundant number, since it is smaller than the sum of its proper divisors (76692484260).

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

25786037340 is a wasteful number, since it uses less digits than its factorization.

25786037340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 25786037340 in words is "twenty-five billion, seven hundred eighty-six million, thirty-seven thousand, three hundred forty".