1527876080640 has 2112 divisors, whose sum is σ = 6958474199040. Its totient is φ = 300987187200.

The previous prime is 1527876080629. The next prime is 1527876080693. The reversal of 1527876080640 is 460806787251.

1527876080640 is a `hidden beast` number, since 1 + 5 + 27 + 8 + 7 + 608 + 0 + 6 + 4 + 0 = 666.

It is a congruent number.

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, 10118384565 + ... + 10118384715.

Almost surely, 2^{1527876080640} is an apocalyptic number.

1527876080640 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 1527876080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479237099520).

1527876080640 is an abundant number, since it is smaller than the sum of its proper divisors (5430598118400).

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

1527876080640 is a wasteful number, since it uses less digits than its factorization.

1527876080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1527876080640 in words is "one trillion, five hundred twenty-seven billion, eight hundred seventy-six million, eighty thousand, six hundred forty".