20515034400 has 288 divisors, whose sum is σ = 77108814720. Its totient is φ = 4640440320.

The previous prime is 20515034383. The next prime is 20515034411. The reversal of 20515034400 is 443051502.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623306 + ... + 1635894.

It is an arithmetic number, because the mean of its divisors is an integer number (267738940).

Almost surely, 2^20515034400 is an apocalyptic number.

20515034400 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 20515034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38554407360).

20515034400 is an abundant number, since it is smaller than the sum of its proper divisors (56593780320).

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

20515034400 is a wasteful number, since it uses less digits than its factorization.

20515034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12703 counting only the distinct ones).

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

Adding to 20515034400 its reverse (443051502), we get a palindrome (20958085902).

The spelling of 20515034400 in words is "twenty billion, five hundred fifteen million, thirty-four thousand, four hundred".