5215811000400 has 3360 divisors, whose sum is σ = 25613908604928. Its totient is φ = 985150771200.

The previous prime is 5215811000381. The next prime is 5215811000401. The reversal of 5215811000400 is 40001185125.

5215811000400 is a `hidden beast` number, since 5 + 2 + 158 + 1 + 100 + 0 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5215811000401) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 31232401117 + ... + 31232401283.

Almost surely, 2^{5215811000400} is an apocalyptic number.

5215811000400 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 5215811000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806954302464).

5215811000400 is an abundant number, since it is smaller than the sum of its proper divisors (20398097604528).

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

5215811000400 is a wasteful number, since it uses less digits than its factorization.

5215811000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 5215811000400 its reverse (40001185125), we get a palindrome (5255812185525).

The spelling of 5215811000400 in words is "five trillion, two hundred fifteen billion, eight hundred eleven million, four hundred", and thus it is an aban number.