5311822487400 has 4032 divisors, whose sum is σ = 24529448764800. Its totient is φ = 1056814387200.

The previous prime is 5311822487399. The next prime is 5311822487437. The reversal of 5311822487400 is 47842281135.

5311822487400 is a `hidden beast` number, since 5 + 3 + 1 + 18 + 224 + 8 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 100223065774 + ... + 100223065826.

It is an arithmetic number, because the mean of its divisors is an integer number (6083692650).

Almost surely, 2^{5311822487400} is an apocalyptic number.

5311822487400 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 5311822487400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264724382400).

5311822487400 is an abundant number, since it is smaller than the sum of its proper divisors (19217626277400).

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

5311822487400 is a wasteful number, since it uses less digits than its factorization.

5311822487400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5311822487400 in words is "five trillion, three hundred eleven billion, eight hundred twenty-two million, four hundred eighty-seven thousand, four hundred".