20158295040 has 440 divisors, whose sum is σ = 77813347920. Its totient is φ = 4960714752.

The previous prime is 20158295023. The next prime is 20158295041. The reversal of 20158295040 is 4059285102.

20158295040 is a `hidden beast` number, since 20 + 1 + 582 + 9 + 50 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 20158294986 and 20158295004.

It is not an unprimeable number, because it can be changed into a prime (20158295041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5389491 + ... + 5393229.

It is an arithmetic number, because the mean of its divisors is an integer number (176848518).

Almost surely, 2^20158295040 is an apocalyptic number.

20158295040 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 20158295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38906673960).

20158295040 is an abundant number, since it is smaller than the sum of its proper divisors (57655052880).

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

20158295040 is a wasteful number, since it uses less digits than its factorization.

20158295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 20158295040 in words is "twenty billion, one hundred fifty-eight million, two hundred ninety-five thousand, forty".