20893973760 has 1152 divisors, whose sum is σ = 88689323520. Its totient is φ = 4600627200.

The previous prime is 20893973759. The next prime is 20893973767. The reversal of 20893973760 is 6737939802.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 20893973697 and 20893973706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20893973767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 342524130 + ... + 342524190.

It is an arithmetic number, because the mean of its divisors is an integer number (76987260).

Almost surely, 2^20893973760 is an apocalyptic number.

20893973760 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 20893973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44344661760).

20893973760 is an abundant number, since it is smaller than the sum of its proper divisors (67795349760).

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

20893973760 is a wasteful number, since it uses less digits than its factorization.

20893973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 20893973760 in words is "twenty billion, eight hundred ninety-three million, nine hundred seventy-three thousand, seven hundred sixty".