20749296960 has 1260 divisors, whose sum is σ = 93937057236. Its totient is φ = 4319723520.

The previous prime is 20749296881. The next prime is 20749296973. The reversal of 20749296960 is 6969294702.

20749296960 is a `hidden beast` number, since 2 + 0 + 7 + 492 + 96 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11961359424 + 8787937536 = 109368^2 + 93744^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20749296897 and 20749296906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 669332145 + ... + 669332175.

Almost surely, 2^20749296960 is an apocalyptic number.

20749296960 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 20749296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46968528618).

20749296960 is an abundant number, since it is smaller than the sum of its proper divisors (73187760276).

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

20749296960 is a wasteful number, since it uses less digits than its factorization.

20749296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 20749296960 in words is "twenty billion, seven hundred forty-nine million, two hundred ninety-six thousand, nine hundred sixty".