16435909113000 has 1024 divisors, whose sum is σ = 57096245606400. Its totient is φ = 3911639040000.

The previous prime is 16435909112951. The next prime is 16435909113067. The reversal of 16435909113000 is 31190953461.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62493950869 + ... + 62493951131.

It is an arithmetic number, because the mean of its divisors is an integer number (55758052350).

Almost surely, 2^{16435909113000} is an apocalyptic number.

16435909113000 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 16435909113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28548122803200).

16435909113000 is an abundant number, since it is smaller than the sum of its proper divisors (40660336493400).

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

16435909113000 is a wasteful number, since it uses less digits than its factorization.

16435909113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 16435909113000 in words is "sixteen trillion, four hundred thirty-five billion, nine hundred nine million, one hundred thirteen thousand".