20829342400 has 84 divisors (see below), whose sum is σ = 52638571888. Its totient is φ = 8106531840.

The previous prime is 20829342377. The next prime is 20829342427. The reversal of 20829342400 is 424392802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116724 + ... + 235123.

Almost surely, 2^20829342400 is an apocalyptic number.

20829342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20829342400 is an abundant number, since it is smaller than the sum of its proper divisors (31809229488).

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

20829342400 is a wasteful number, since it uses less digits than its factorization.

20829342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351906 (or 351891 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 20829342400 in words is "twenty billion, eight hundred twenty-nine million, three hundred forty-two thousand, four hundred".