1516398683100 has 432 divisors, whose sum is σ = 5189785020000. Its totient is φ = 340793671680.

The previous prime is 1516398682991. The next prime is 1516398683123. The reversal of 1516398683100 is 13868936151.

It is a super-2 number, since 2×1516398683100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 374509876 + ... + 374513924.

It is an arithmetic number, because the mean of its divisors is an integer number (12013391250).

Almost surely, 2^{1516398683100} is an apocalyptic number.

1516398683100 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 1516398683100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594892510000).

1516398683100 is an abundant number, since it is smaller than the sum of its proper divisors (3673386336900).

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

1516398683100 is a wasteful number, since it uses less digits than its factorization.

1516398683100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 1516398683100 in words is "one trillion, five hundred sixteen billion, three hundred ninety-eight million, six hundred eighty-three thousand, one hundred".