19926405120 has 416 divisors, whose sum is σ = 67939430400. Its totient is φ = 4975624192.

The previous prime is 19926405113. The next prime is 19926405131. The reversal of 19926405120 is 2150462991.

It is a super-3 number, since 3×19926405120³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83373961 + ... + 83374199.

Almost surely, 2^19926405120 is an apocalyptic number.

19926405120 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 19926405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33969715200).

19926405120 is an abundant number, since it is smaller than the sum of its proper divisors (48013025280).

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

19926405120 is a wasteful number, since it uses less digits than its factorization.

19926405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 19926405120 in words is "nineteen billion, nine hundred twenty-six million, four hundred five thousand, one hundred twenty".