20429435520 has 512 divisors, whose sum is σ = 78482880000. Its totient is φ = 4992565248.

The previous prime is 20429435503. The next prime is 20429435557. The reversal of 20429435520 is 2553492402.

20429435520 is a `hidden beast` number, since 2 + 0 + 42 + 94 + 3 + 5 + 520 = 666.

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

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, 44703132 + ... + 44703588.

It is an arithmetic number, because the mean of its divisors is an integer number (153286875).

Almost surely, 2^20429435520 is an apocalyptic number.

20429435520 is a gapful number since it is divisible by the number (20) 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 20429435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39241440000).

20429435520 is an abundant number, since it is smaller than the sum of its proper divisors (58053444480).

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

20429435520 is a wasteful number, since it uses less digits than its factorization.

20429435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20429435520 in words is "twenty billion, four hundred twenty-nine million, four hundred thirty-five thousand, five hundred twenty".