20435434000 has 160 divisors (see below), whose sum is σ = 50173074432. Its totient is φ = 8049600000.

The previous prime is 20435433971. The next prime is 20435434009. The reversal of 20435434000 is 43453402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20435434009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47413785 + ... + 47414215.

Almost surely, 2^20435434000 is an apocalyptic number.

20435434000 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 20435434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25086537216).

20435434000 is an abundant number, since it is smaller than the sum of its proper divisors (29737640432).

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

20435434000 is a wasteful number, since it uses less digits than its factorization.

20435434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 20435434000 its reverse (43453402), we get a palindrome (20478887402).

The spelling of 20435434000 in words is "twenty billion, four hundred thirty-five million, four hundred thirty-four thousand".