19912147200 has 486 divisors, whose sum is σ = 78278016362. Its totient is φ = 4825497600.

The previous prime is 19912147183. The next prime is 19912147201. The reversal of 19912147200 is 274121991.

It can be written as a sum of positive squares in 3 ways, for example, as 2208248064 + 17703899136 = 46992^2 + 133056^2 .

It is a super-2 number, since 2×19912147200² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19912147201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6968172 + ... + 6971028.

Almost surely, 2^19912147200 is an apocalyptic number.

19912147200 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 19912147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39139008181).

19912147200 is an abundant number, since it is smaller than the sum of its proper divisors (58365869162).

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

19912147200 is a wasteful number, since it uses less digits than its factorization.

19912147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 19912147200 in words is "nineteen billion, nine hundred twelve million, one hundred forty-seven thousand, two hundred".