1635621616960 has 28 divisors (see below), whose sum is σ = 3894823976148. Its totient is φ = 654248646656.

The previous prime is 1635621616943. The next prime is 1635621616963. The reversal of 1635621616960 is 696161265361.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 371777989696 + 1263843627264 = 609736^2 + 1124208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1635621616898 and 1635621616907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1635621616963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2555658457 + ... + 2555659096.

It is an arithmetic number, because the mean of its divisors is an integer number (139100856291).

Almost surely, 2^{1635621616960} is an apocalyptic number.

1635621616960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1635621616960 is an abundant number, since it is smaller than the sum of its proper divisors (2259202359188).

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

1635621616960 is an equidigital number, since it uses as much as digits as its factorization.

1635621616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111317570 (or 5111317560 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 1635621616960 in words is "one trillion, six hundred thirty-five billion, six hundred twenty-one million, six hundred sixteen thousand, nine hundred sixty".