19813950720 has 432 divisors, whose sum is σ = 71629608960. Its totient is φ = 5050515456.

The previous prime is 19813950713. The next prime is 19813950757. The reversal of 19813950720 is 2705931891.

19813950720 is a `hidden beast` number, since 1 + 9 + 8 + 139 + 507 + 2 + 0 = 666.

It is a super-3 number, since 3×19813950720³ (a number of 32 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42427927 + ... + 42428393.

It is an arithmetic number, because the mean of its divisors is an integer number (165809280).

Almost surely, 2^19813950720 is an apocalyptic number.

19813950720 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 19813950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814804480).

19813950720 is an abundant number, since it is smaller than the sum of its proper divisors (51815658240).

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

19813950720 is a wasteful number, since it uses less digits than its factorization.

19813950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 19813950720 in words is "nineteen billion, eight hundred thirteen million, nine hundred fifty thousand, seven hundred twenty".