20735313984 has 896 divisors, whose sum is σ = 82164326400. Its totient is φ = 4963368960.

The previous prime is 20735313979. The next prime is 20735314013. The reversal of 20735313984 is 48931353702.

20735313984 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 531 + 39 + 84 = 666.

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, 201313677 + ... + 201313779.

Almost surely, 2^20735313984 is an apocalyptic number.

20735313984 is a gapful number since it is divisible by the number (24) 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 20735313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41082163200).

20735313984 is an abundant number, since it is smaller than the sum of its proper divisors (61429012416).

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

20735313984 is a wasteful number, since it uses less digits than its factorization.

20735313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 20735313984 in words is "twenty billion, seven hundred thirty-five million, three hundred thirteen thousand, nine hundred eighty-four".