1527812072640 has 1568 divisors, whose sum is σ = 6447582167040. Its totient is φ = 337481883648.

The previous prime is 1527812072609. The next prime is 1527812072663. The reversal of 1527812072640 is 462702187251.

1527812072640 is a `hidden beast` number, since 1 + 527 + 8 + 12 + 0 + 72 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10991453691 + ... + 10991453829.

Almost surely, 2^{1527812072640} is an apocalyptic number.

1527812072640 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 1527812072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223791083520).

1527812072640 is an abundant number, since it is smaller than the sum of its proper divisors (4919770094400).

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

1527812072640 is a wasteful number, since it uses less digits than its factorization.

1527812072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1527812072640 in words is "one trillion, five hundred twenty-seven billion, eight hundred twelve million, seventy-two thousand, six hundred forty".