5331261801600 has 1536 divisors, whose sum is σ = 24108099840000. Its totient is φ = 1123148021760.

The previous prime is 5331261801587. The next prime is 5331261801631. The reversal of 5331261801600 is 61081621335.

5331261801600 is a `hidden beast` number, since 5 + 3 + 31 + 2 + 6 + 18 + 0 + 1 + 600 = 666.

It is a super-3 number, since 3×5331261801600³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 425168131 + ... + 425180669.

It is an arithmetic number, because the mean of its divisors is an integer number (15695377500).

Almost surely, 2^{5331261801600} is an apocalyptic number.

5331261801600 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 5331261801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054049920000).

5331261801600 is an abundant number, since it is smaller than the sum of its proper divisors (18776838038400).

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

5331261801600 is a wasteful number, since it uses less digits than its factorization.

5331261801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 5331261801600 in words is "five trillion, three hundred thirty-one billion, two hundred sixty-one million, eight hundred one thousand, six hundred".