10025159040 has 384 divisors, whose sum is σ = 38908658880. Its totient is φ = 2360033280.

The previous prime is 10025159021. The next prime is 10025159041. The reversal of 10025159040 is 4095152001.

10025159040 is a `hidden beast` number, since 10 + 0 + 25 + 1 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 10025158995 and 10025159013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025159041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719330 + ... + 1725150.

Almost surely, 2^10025159040 is an apocalyptic number.

10025159040 is a gapful number since it is divisible by the number (10) 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 10025159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454329440).

10025159040 is an abundant number, since it is smaller than the sum of its proper divisors (28883499840).

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

10025159040 is a wasteful number, since it uses less digits than its factorization.

10025159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10025159040 in words is "ten billion, twenty-five million, one hundred fifty-nine thousand, forty".