5382670515200 has 528 divisors, whose sum is σ = 14727971697696. Its totient is φ = 1934308147200.

The previous prime is 5382670515149. The next prime is 5382670515203. The reversal of 5382670515200 is 25150762835.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382670515203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15248358224 + ... + 15248358576.

Almost surely, 2^{5382670515200} is an apocalyptic number.

5382670515200 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 5382670515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363985848848).

5382670515200 is an abundant number, since it is smaller than the sum of its proper divisors (9345301182496).

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

5382670515200 is a wasteful number, since it uses less digits than its factorization.

5382670515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 5382670515200 in words is "five trillion, three hundred eighty-two billion, six hundred seventy million, five hundred fifteen thousand, two hundred".