16952389352640 has 4480 divisors, whose sum is σ = 79229163847680. Its totient is φ = 3353857228800.

The previous prime is 16952389352597. The next prime is 16952389352641. The reversal of 16952389352640 is 4625398325961.

It is a happy number.

16952389352640 is a `hidden beast` number, since 1 + 6 + 9 + 5 + 23 + 89 + 3 + 526 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (16952389352641) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 232224511644 + ... + 232224511716.

It is an arithmetic number, because the mean of its divisors is an integer number (17685081216).

Almost surely, 2^{16952389352640} is an apocalyptic number.

16952389352640 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 16952389352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39614581923840).

16952389352640 is an abundant number, since it is smaller than the sum of its proper divisors (62276774495040).

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

16952389352640 is a wasteful number, since it uses less digits than its factorization.

16952389352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 16952389352640 in words is "sixteen trillion, nine hundred fifty-two billion, three hundred eighty-nine million, three hundred fifty-two thousand, six hundred forty".