19156105200 has 120 divisors (see below), whose sum is σ = 62204269168. Its totient is φ = 5038295040.

The previous prime is 19156105181. The next prime is 19156105219. The reversal of 19156105200 is 250165191.

It is an interprime number because it is at equal distance from previous prime (19156105181) and next prime (19156105219).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21739 + ... + 196938.

Almost surely, 2^19156105200 is an apocalyptic number.

19156105200 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 19156105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31102134584).

19156105200 is an abundant number, since it is smaller than the sum of its proper divisors (43048163968).

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

19156105200 is a wasteful number, since it uses less digits than its factorization.

19156105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218771 (or 218760 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 19156105200 in words is "nineteen billion, one hundred fifty-six million, one hundred five thousand, two hundred".