20013201515400 has 192 divisors, whose sum is σ = 63366144307200. Its totient is φ = 5222875004160.

The previous prime is 20013201515261. The next prime is 20013201515413. The reversal of 20013201515400 is 451510231002.

It is a happy number.

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, 489503359 + ... + 489544241.

It is an arithmetic number, because the mean of its divisors is an integer number (330032001600).

Almost surely, 2^{20013201515400} is an apocalyptic number.

20013201515400 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 20013201515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31683072153600).

20013201515400 is an abundant number, since it is smaller than the sum of its proper divisors (43352942791800).

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

20013201515400 is a wasteful number, since it uses less digits than its factorization.

20013201515400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58308 (or 58299 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 20013201515400 its reverse (451510231002), we get a palindrome (20464711746402).

The spelling of 20013201515400 in words is "twenty trillion, thirteen billion, two hundred one million, five hundred fifteen thousand, four hundred".