1987149504627 has 384 divisors, whose sum is σ = 4008192000000. Its totient is φ = 967880212992.

The previous prime is 1987149504601. The next prime is 1987149504667. The reversal of 1987149504627 is 7264059417891.

1987149504627 is a `hidden beast` number, since 1 + 9 + 87 + 1 + 4 + 95 + 0 + 462 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-1987149504627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1987149504667) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1169598624 + ... + 1169600322.

It is an arithmetic number, because the mean of its divisors is an integer number (10438000000).

Almost surely, 2^{1987149504627} is an apocalyptic number.

1987149504627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1987149504627 is an abundant number, since it is smaller than the sum of its proper divisors (2021042495373).

1987149504627 is a wasteful number, since it uses less digits than its factorization.

1987149504627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1987149504627 in words is "one trillion, nine hundred eighty-seven billion, one hundred forty-nine million, five hundred four thousand, six hundred twenty-seven".