1616097600800 has 72 divisors (see below), whose sum is σ = 3946236393456. Its totient is φ = 646285328640.

The previous prime is 1616097600791. The next prime is 1616097600809. The reversal of 1616097600800 is 80067906161.

It is an interprime number because it is at equal distance from previous prime (1616097600791) and next prime (1616097600809).

It is a super-2 number, since 2×1616097600800² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1616097600809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3156347 + ... + 3632453.

It is an arithmetic number, because the mean of its divisors is an integer number (54808838798).

Almost surely, 2^{1616097600800} is an apocalyptic number.

1616097600800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1616097600800 is an abundant number, since it is smaller than the sum of its proper divisors (2330138792656).

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

1616097600800 is a wasteful number, since it uses less digits than its factorization.

1616097600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480370 (or 480357 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 1616097600800 in words is "one trillion, six hundred sixteen billion, ninety-seven million, six hundred thousand, eight hundred".