20534510400 has 252 divisors, whose sum is σ = 70435512672. Its totient is φ = 5237140480.

The previous prime is 20534510387. The next prime is 20534510401. The reversal of 20534510400 is 401543502.

It is a super-2 number, since 2×20534510400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20534510401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2535157 + ... + 2543243.

Almost surely, 2^20534510400 is an apocalyptic number.

20534510400 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 20534510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35217756336).

20534510400 is an abundant number, since it is smaller than the sum of its proper divisors (49901002272).

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

20534510400 is a wasteful number, since it uses less digits than its factorization.

20534510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 20534510400 in words is "twenty billion, five hundred thirty-four million, five hundred ten thousand, four hundred".