19429629120 has 672 divisors, whose sum is σ = 79083164160. Its totient is φ = 4324884480.

The previous prime is 19429629101. The next prime is 19429629139. The reversal of 19429629120 is 2192692491.

19429629120 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 9 + 629 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19429629101) and next prime (19429629139).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23157661 + ... + 23158499.

It is an arithmetic number, because the mean of its divisors is an integer number (117683280).

Almost surely, 2^19429629120 is an apocalyptic number.

19429629120 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 19429629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39541582080).

19429629120 is an abundant number, since it is smaller than the sum of its proper divisors (59653535040).

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

19429629120 is a wasteful number, since it uses less digits than its factorization.

19429629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19429629120 in words is "nineteen billion, four hundred twenty-nine million, six hundred twenty-nine thousand, one hundred twenty".