20291214960 has 640 divisors, whose sum is σ = 77215057920. Its totient is φ = 4877107200.

The previous prime is 20291214941. The next prime is 20291214967. The reversal of 20291214960 is 6941219202.

20291214960 is a `hidden beast` number, since 20 + 29 + 121 + 496 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20291214967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112106070 + ... + 112106250.

It is an arithmetic number, because the mean of its divisors is an integer number (120648528).

Almost surely, 2^20291214960 is an apocalyptic number.

20291214960 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 20291214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607528960).

20291214960 is an abundant number, since it is smaller than the sum of its proper divisors (56923842960).

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

20291214960 is a wasteful number, since it uses less digits than its factorization.

20291214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20291214960 in words is "twenty billion, two hundred ninety-one million, two hundred fourteen thousand, nine hundred sixty".