1536627752352 has 540 divisors, whose sum is σ = 5778418400370. Its totient is φ = 399120099840.

The previous prime is 1536627752323. The next prime is 1536627752383. The reversal of 1536627752352 is 2532577266351.

1536627752352 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 62 + 7 + 7 + 523 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1535329159056 + 1298593296 = 1239084^2 + 36036^2 .

It is a super-2 number, since 2×1536627752352² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15317974 + ... + 15417962.

Almost surely, 2^{1536627752352} is an apocalyptic number.

1536627752352 is a gapful number since it is divisible by the number (12) 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 1536627752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889209200185).

1536627752352 is an abundant number, since it is smaller than the sum of its proper divisors (4241790648018).

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

1536627752352 is a wasteful number, since it uses less digits than its factorization.

1536627752352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100047 (or 100012 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The spelling of 1536627752352 in words is "one trillion, five hundred thirty-six billion, six hundred twenty-seven million, seven hundred fifty-two thousand, three hundred fifty-two".