19813155120 has 160 divisors (see below), whose sum is σ = 74449520640. Its totient is φ = 4803183360.

The previous prime is 19813155119. The next prime is 19813155139. The reversal of 19813155120 is 2155131891.

19813155120 is a `hidden beast` number, since 1 + 9 + 8 + 131 + 5 + 512 + 0 = 666.

It is a super-3 number, since 3×19813155120³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393184 + ... + 440703.

It is an arithmetic number, because the mean of its divisors is an integer number (465309504).

Almost surely, 2^19813155120 is an apocalyptic number.

19813155120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19813155120 is an abundant number, since it is smaller than the sum of its proper divisors (54636365520).

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

19813155120 is a wasteful number, since it uses less digits than its factorization.

19813155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833920 (or 833908 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 19813155120 in words is "nineteen billion, eight hundred thirteen million, one hundred fifty-five thousand, one hundred twenty".