20152903680 has 1152 divisors, whose sum is σ = 90150278400. Its totient is φ = 4204265472.

The previous prime is 20152903649. The next prime is 20152903709. The reversal of 20152903680 is 8630925102.

20152903680 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 290 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20152903680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226437076 + ... + 226437164.

It is an arithmetic number, because the mean of its divisors is an integer number (78255450).

Almost surely, 2^20152903680 is an apocalyptic number.

20152903680 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 20152903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45075139200).

20152903680 is an abundant number, since it is smaller than the sum of its proper divisors (69997374720).

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

20152903680 is an equidigital number, since it uses as much as digits as its factorization.

20152903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20152903680 in words is "twenty billion, one hundred fifty-two million, nine hundred three thousand, six hundred eighty".