19829011140 has 192 divisors, whose sum is σ = 67085625600. Its totient is φ = 4842104832.

The previous prime is 19829011117. The next prime is 19829011201. The reversal of 19829011140 is 4111092891.

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

It is a junction number, because it is equal to n+sod(n) for n = 19829011095 and 19829011104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310471 + ... + 368849.

It is an arithmetic number, because the mean of its divisors is an integer number (349404300).

Almost surely, 2^19829011140 is an apocalyptic number.

19829011140 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 19829011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33542812800).

19829011140 is an abundant number, since it is smaller than the sum of its proper divisors (47256614460).

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

19829011140 is a wasteful number, since it uses less digits than its factorization.

19829011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58451 (or 58443 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 19829011140 in words is "nineteen billion, eight hundred twenty-nine million, eleven thousand, one hundred forty".