16972977721840 has 160 divisors (see below), whose sum is σ = 45680886950400. Its totient is φ = 5744784632832.

The previous prime is 16972977721801. The next prime is 16972977721849. The reversal of 16972977721840 is 4812777927961.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 16972977721840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16972977721849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12976747 + ... + 14224693.

It is an arithmetic number, because the mean of its divisors is an integer number (285505543440).

Almost surely, 2^{16972977721840} is an apocalyptic number.

16972977721840 is a gapful number since it is divisible by the number (10) 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 16972977721840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840443475200).

16972977721840 is an abundant number, since it is smaller than the sum of its proper divisors (28707909228560).

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

16972977721840 is a wasteful number, since it uses less digits than its factorization.

16972977721840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248279 (or 1248273 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 70.

The spelling of 16972977721840 in words is "sixteen trillion, nine hundred seventy-two billion, nine hundred seventy-seven million, seven hundred twenty-one thousand, eight hundred forty".