5815416222000 has 1920 divisors, whose sum is σ = 27646630502400. Its totient is φ = 1144658304000.

The previous prime is 5815416221999. The next prime is 5815416222017. The reversal of 5815416222000 is 2226145185.

5815416222000 is a `hidden beast` number, since 5 + 8 + 1 + 5 + 4 + 1 + 622 + 20 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 711013911 + ... + 711022089.

It is an arithmetic number, because the mean of its divisors is an integer number (14399286720).

Almost surely, 2^{5815416222000} is an apocalyptic number.

5815416222000 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 5815416222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823315251200).

5815416222000 is an abundant number, since it is smaller than the sum of its proper divisors (21831214280400).

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

5815416222000 is a wasteful number, since it uses less digits than its factorization.

5815416222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 5815416222000 in words is "five trillion, eight hundred fifteen billion, four hundred sixteen million, two hundred twenty-two thousand".