20973738240 has 1512 divisors, whose sum is σ = 98121320640. Its totient is φ = 4192321536.

The previous prime is 20973738211. The next prime is 20973738257. The reversal of 20973738240 is 4283737902.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1103880951 + ... + 1103880969.

Almost surely, 2^20973738240 is an apocalyptic number.

20973738240 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 20973738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49060660320).

20973738240 is an abundant number, since it is smaller than the sum of its proper divisors (77147582400).

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

20973738240 is an equidigital number, since it uses as much as digits as its factorization.

20973738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 20973738240 in words is "twenty billion, nine hundred seventy-three million, seven hundred thirty-eight thousand, two hundred forty".