15782020208640 has 4608 divisors, whose sum is σ = 75505457664000. Its totient is φ = 2959802892288.

The previous prime is 15782020208587. The next prime is 15782020208701. The reversal of 15782020208640 is 4680202028751.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 177326069716 + ... + 177326069804.

It is an arithmetic number, because the mean of its divisors is an integer number (16385733000).

Almost surely, 2^{15782020208640} is an apocalyptic number.

15782020208640 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 15782020208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37752728832000).

15782020208640 is an abundant number, since it is smaller than the sum of its proper divisors (59723437455360).

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

15782020208640 is a wasteful number, since it uses less digits than its factorization.

15782020208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 15782020208640 in words is "fifteen trillion, seven hundred eighty-two billion, twenty million, two hundred eight thousand, six hundred forty".