5382277632000 has 1040 divisors, whose sum is σ = 20188169896752. Its totient is φ = 1426548326400.

The previous prime is 5382277631993. The next prime is 5382277632019. The reversal of 5382277632000 is 2367722835.

5382277632000 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 2 + 7 + 7 + 632 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3844360175616 + 1537917456384 = 1960704^2 + 1240128^2 .

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 79 ways as a sum of consecutive naturals, for example, 9662975722 + ... + 9662976278.

Almost surely, 2^{5382277632000} is an apocalyptic number.

5382277632000 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 5382277632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094084948376).

5382277632000 is an abundant number, since it is smaller than the sum of its proper divisors (14805892264752).

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

5382277632000 is an equidigital number, since it uses as much as digits as its factorization.

5382277632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 5382277632000 in words is "five trillion, three hundred eighty-two billion, two hundred seventy-seven million, six hundred thirty-two thousand".