19858215104 has 336 divisors, whose sum is σ = 53705272320. Its totient is φ = 7193733120.

The previous prime is 19858215101. The next prime is 19858215127. The reversal of 19858215104 is 40151285891.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (19858215101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24011939 + ... + 24012765.

It is an arithmetic number, because the mean of its divisors is an integer number (159837120).

Almost surely, 2^19858215104 is an apocalyptic number.

19858215104 is a gapful number since it is divisible by the number (14) 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 19858215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852636160).

19858215104 is an abundant number, since it is smaller than the sum of its proper divisors (33847057216).

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

19858215104 is a wasteful number, since it uses less digits than its factorization.

19858215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 44.

The spelling of 19858215104 in words is "nineteen billion, eight hundred fifty-eight million, two hundred fifteen thousand, one hundred four".