1187272681875 has 240 divisors, whose sum is σ = 2492082278400. Its totient is φ = 533306592000.

The previous prime is 1187272681873. The next prime is 1187272681927. The reversal of 1187272681875 is 5781862727811.

1187272681875 is a `hidden beast` number, since 1 + 187 + 272 + 6 + 8 + 187 + 5 = 666.

It is not a de Polignac number, because 1187272681875 - 2¹ = 1187272681873 is a prime.

It is a super-2 number, since 2×1187272681875² (a number of 25 digits) contains 22 as substring.

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 (1187272681873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 743438577 + ... + 743440173.

It is an arithmetic number, because the mean of its divisors is an integer number (10383676160).

Almost surely, 2^{1187272681875} is an apocalyptic number.

1187272681875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1187272681875 is an abundant number, since it is smaller than the sum of its proper divisors (1304809596525).

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

1187272681875 is a wasteful number, since it uses less digits than its factorization.

1187272681875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1930 counting only the distinct ones).

The product of its digits is 21073920, while the sum is 63.

The spelling of 1187272681875 in words is "one trillion, one hundred eighty-seven billion, two hundred seventy-two million, six hundred eighty-one thousand, eight hundred seventy-five".