1616687001600 has 1872 divisors, whose sum is σ = 6432253642752. Its totient is φ = 356843520000.

The previous prime is 1616687001593. The next prime is 1616687001653. The reversal of 1616687001600 is 61007866161.

It is a super-2 number, since 2×1616687001600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26503065570 + ... + 26503065630.

Almost surely, 2^{1616687001600} is an apocalyptic number.

1616687001600 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 1616687001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216126821376).

1616687001600 is an abundant number, since it is smaller than the sum of its proper divisors (4815566641152).

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

1616687001600 is a wasteful number, since it uses less digits than its factorization.

1616687001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 1616687001600 in words is "one trillion, six hundred sixteen billion, six hundred eighty-seven million, one thousand, six hundred".