5211089510400 has 504 divisors, whose sum is σ = 19357664717664. Its totient is φ = 1389610598400.

The previous prime is 5211089510383. The next prime is 5211089510401. The reversal of 5211089510400 is 40159801125.

5211089510400 is a `hidden beast` number, since 5 + 21 + 1 + 0 + 89 + 510 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5211089510401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49714045 + ... + 49818755.

It is an arithmetic number, because the mean of its divisors is an integer number (38408064916).

Almost surely, 2^{5211089510400} is an apocalyptic number.

5211089510400 is a gapful number since it is divisible by the number (50) 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 5211089510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678832358832).

5211089510400 is an abundant number, since it is smaller than the sum of its proper divisors (14146575207264).

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

5211089510400 is an equidigital number, since it uses as much as digits as its factorization.

5211089510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104762 (or 104721 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 5211089510400 in words is "five trillion, two hundred eleven billion, eighty-nine million, five hundred ten thousand, four hundred".