1536552288040 has 768 divisors, whose sum is σ = 4648573440000. Its totient is φ = 456009523200.

The previous prime is 1536552287887. The next prime is 1536552288107. The reversal of 1536552288040 is 408822556351.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3756851356 + ... + 3756851764.

It is an arithmetic number, because the mean of its divisors is an integer number (6052830000).

Almost surely, 2^{1536552288040} is an apocalyptic number.

1536552288040 is a gapful number since it is divisible by the number (10) 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 1536552288040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324286720000).

1536552288040 is an abundant number, since it is smaller than the sum of its proper divisors (3112021151960).

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

1536552288040 is a wasteful number, since it uses less digits than its factorization.

1536552288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 49.

The spelling of 1536552288040 in words is "one trillion, five hundred thirty-six billion, five hundred fifty-two million, two hundred eighty-eight thousand, forty".