20029479366960 has 360 divisors, whose sum is σ = 78965703170640. Its totient is φ = 4536164312064.

The previous prime is 20029479366893. The next prime is 20029479366973. The reversal of 20029479366960 is 6966397492002.

20029479366960 is a `hidden beast` number, since 20 + 0 + 29 + 479 + 3 + 6 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×20029479366960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1241259 + ... + 6449781.

It is an arithmetic number, because the mean of its divisors is an integer number (219349175474).

Almost surely, 2^{20029479366960} is an apocalyptic number.

20029479366960 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 20029479366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39482851585320).

20029479366960 is an abundant number, since it is smaller than the sum of its proper divisors (58936223803680).

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

20029479366960 is a wasteful number, since it uses less digits than its factorization.

20029479366960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208665 (or 5208649 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 20029479366960 in words is "twenty trillion, twenty-nine billion, four hundred seventy-nine million, three hundred sixty-six thousand, nine hundred sixty".