5802587062272 has 2052 divisors, whose sum is σ = 23887883060496. Its totient is φ = 1391229665280.

The previous prime is 5802587062241. The next prime is 5802587062277. The reversal of 5802587062272 is 2722607852085.

5802587062272 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 5 + 8 + 7 + 0 + 622 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5802587062277) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 446352850938 + ... + 446352850950.

It is an arithmetic number, because the mean of its divisors is an integer number (11641268548).

Almost surely, 2^{5802587062272} is an apocalyptic number.

5802587062272 is a gapful number since it is divisible by the number (52) 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 5802587062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943941530248).

5802587062272 is an abundant number, since it is smaller than the sum of its proper divisors (18085295998224).

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

5802587062272 is an frugal number, since it uses more digits than its factorization.

5802587062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 5802587062272 in words is "five trillion, eight hundred two billion, five hundred eighty-seven million, sixty-two thousand, two hundred seventy-two".