20434680000 has 1400 divisors, whose sum is σ = 93324651552. Its totient is φ = 4313088000.

The previous prime is 20434679999. The next prime is 20434680001. The reversal of 20434680000 is 8643402.

It is an interprime number because it is at equal distance from previous prime (20434679999) and next prime (20434680001).

It is a tau number, because it is divible by the number of its divisors (1400).

It is a super-2 number, since 2×20434680000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20434680001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 385559974 + ... + 385560026.

Almost surely, 2^20434680000 is an apocalyptic number.

20434680000 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 20434680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46662325776).

20434680000 is an abundant number, since it is smaller than the sum of its proper divisors (72889971552).

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

20434680000 is an equidigital number, since it uses as much as digits as its factorization.

20434680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20434680000 in words is "twenty billion, four hundred thirty-four million, six hundred eighty thousand".