19949155200 has 384 divisors, whose sum is σ = 78628821600. Its totient is φ = 4910284800.

The previous prime is 19949155199. The next prime is 19949155243. The reversal of 19949155200 is 255194991.

19949155200 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 91 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114320 + ... + 1132080.

Almost surely, 2^19949155200 is an apocalyptic number.

19949155200 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 19949155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39314410800).

19949155200 is an abundant number, since it is smaller than the sum of its proper divisors (58679666400).

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

19949155200 is a wasteful number, since it uses less digits than its factorization.

19949155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17807 (or 17784 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 19949155200 in words is "nineteen billion, nine hundred forty-nine million, one hundred fifty-five thousand, two hundred".