20251607040 has 680 divisors, whose sum is σ = 83738640480. Its totient is φ = 4586471424.

The previous prime is 20251607009. The next prime is 20251607059. The reversal of 20251607040 is 4070615202.

20251607040 is a `hidden beast` number, since 2 + 0 + 2 + 51 + 607 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 20251606995 and 20251607013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185794506 + ... + 185794614.

Almost surely, 2^20251607040 is an apocalyptic number.

20251607040 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 20251607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41869320240).

20251607040 is an abundant number, since it is smaller than the sum of its proper divisors (63487033440).

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

20251607040 is an frugal number, since it uses more digits than its factorization.

20251607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20251607040 in words is "twenty billion, two hundred fifty-one million, six hundred seven thousand, forty".