20315100526200 has 480 divisors, whose sum is σ = 73262161368000. Its totient is φ = 5211077760000.

The previous prime is 20315100526163. The next prime is 20315100526241. The reversal of 20315100526200 is 262500151302.

It is a happy number.

20315100526200 is a `hidden beast` number, since 2 + 0 + 3 + 15 + 100 + 526 + 20 + 0 = 666.

It is a super-2 number, since 2×20315100526200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126295825 + ... + 126456575.

It is an arithmetic number, because the mean of its divisors is an integer number (152629502850).

Almost surely, 2^{20315100526200} is an apocalyptic number.

20315100526200 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 20315100526200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36631080684000).

20315100526200 is an abundant number, since it is smaller than the sum of its proper divisors (52947060841800).

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

20315100526200 is a wasteful number, since it uses less digits than its factorization.

20315100526200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161077 (or 161059 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 20315100526200 its reverse (262500151302), we get a palindrome (20577600677502).

The spelling of 20315100526200 in words is "twenty trillion, three hundred fifteen billion, one hundred million, five hundred twenty-six thousand, two hundred".