25801629840 has 800 divisors, whose sum is σ = 107855953920. Its totient is φ = 5592499200.

The previous prime is 25801629803. The next prime is 25801629857. The reversal of 25801629840 is 4892610852.

25801629840 is a `hidden beast` number, since 2 + 580 + 1 + 6 + 29 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82963285 + ... + 82963595.

Almost surely, 2^25801629840 is an apocalyptic number.

25801629840 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 25801629840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53927976960).

25801629840 is an abundant number, since it is smaller than the sum of its proper divisors (82054324080).

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

25801629840 is a wasteful number, since it uses less digits than its factorization.

25801629840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25801629840 in words is "twenty-five billion, eight hundred one million, six hundred twenty-nine thousand, eight hundred forty".