19791954000 has 960 divisors, whose sum is σ = 87367408128. Its totient is φ = 4064256000.

The previous prime is 19791953989. The next prime is 19791954019. The reversal of 19791954000 is 45919791.

19791954000 is a `hidden beast` number, since 1 + 97 + 9 + 19 + 540 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70433860 + ... + 70434140.

Almost surely, 2^19791954000 is an apocalyptic number.

19791954000 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 19791954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43683704064).

19791954000 is an abundant number, since it is smaller than the sum of its proper divisors (67575454128).

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

19791954000 is a wasteful number, since it uses less digits than its factorization.

19791954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 19791954000 in words is "nineteen billion, seven hundred ninety-one million, nine hundred fifty-four thousand".