1625737940288 has 336 divisors, whose sum is σ = 4343566786560. Its totient is φ = 595311897600.

The previous prime is 1625737940221. The next prime is 1625737940327. The reversal of 1625737940288 is 8820497375261.

It is a self number, because there is not a number n which added to its sum of digits gives 1625737940288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83229083 + ... + 83248613.

It is a 1-persistent number, because it is pandigital, but 2⋅1625737940288 = 3251475880576 is not.

Almost surely, 2^{1625737940288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1625737940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171783393280).

1625737940288 is an abundant number, since it is smaller than the sum of its proper divisors (2717828846272).

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

1625737940288 is a wasteful number, since it uses less digits than its factorization.

1625737940288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19714 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 62.

The spelling of 1625737940288 in words is "one trillion, six hundred twenty-five billion, seven hundred thirty-seven million, nine hundred forty thousand, two hundred eighty-eight".