20205601416 has 512 divisors, whose sum is σ = 76117708800. Its totient is φ = 4795822080.

The previous prime is 20205601397. The next prime is 20205601441. The reversal of 20205601416 is 61410650202.

20205601416 is a `hidden beast` number, since 20 + 20 + 5 + 601 + 4 + 16 = 666.

It is a super-2 number, since 2×20205601416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20205601416.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24431995 + ... + 24432821.

It is an arithmetic number, because the mean of its divisors is an integer number (148667400).

Almost surely, 2^20205601416 is an apocalyptic number.

20205601416 is a gapful number since it is divisible by the number (26) 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 20205601416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38058854400).

20205601416 is an abundant number, since it is smaller than the sum of its proper divisors (55912107384).

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

20205601416 is a wasteful number, since it uses less digits than its factorization.

20205601416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20205601416 in words is "twenty billion, two hundred five million, six hundred one thousand, four hundred sixteen".