5337976550400 has 1056 divisors, whose sum is σ = 21211532791680. Its totient is φ = 1307675197440.

The previous prime is 5337976550381. The next prime is 5337976550437. The reversal of 5337976550400 is 40556797335.

5337976550400 is a `hidden beast` number, since 5 + 3 + 3 + 79 + 7 + 65 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2039729892 + ... + 2039732508.

It is an arithmetic number, because the mean of its divisors is an integer number (20086678780).

Almost surely, 2^{5337976550400} is an apocalyptic number.

5337976550400 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 5337976550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10605766395840).

5337976550400 is an abundant number, since it is smaller than the sum of its proper divisors (15873556241280).

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

5337976550400 is a wasteful number, since it uses less digits than its factorization.

5337976550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 5337976550400 in words is "five trillion, three hundred thirty-seven billion, nine hundred seventy-six million, five hundred fifty thousand, four hundred".