20601419520 has 288 divisors, whose sum is σ = 74097321984. Its totient is φ = 4832870400.

The previous prime is 20601419483. The next prime is 20601419549. The reversal of 20601419520 is 2591410602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301574 + ... + 1317306.

It is an arithmetic number, because the mean of its divisors is an integer number (257282368).

Almost surely, 2^20601419520 is an apocalyptic number.

20601419520 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 20601419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37048660992).

20601419520 is an abundant number, since it is smaller than the sum of its proper divisors (53495902464).

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

20601419520 is a wasteful number, since it uses less digits than its factorization.

20601419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15799 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 20601419520 in words is "twenty billion, six hundred one million, four hundred nineteen thousand, five hundred twenty".