27831512940 has 1152 divisors, whose sum is σ = 114375131136. Its totient is φ = 4967424000.

The previous prime is 27831512893. The next prime is 27831512953. The reversal of 27831512940 is 4921513872.

It is a super-2 number, since 2×27831512940² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27831512892 and 27831512901.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 391993105 + ... + 391993175.

It is an arithmetic number, because the mean of its divisors is an integer number (99283968).

Almost surely, 2^27831512940 is an apocalyptic number.

27831512940 is a gapful number since it is divisible by the number (20) 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 27831512940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57187565568).

27831512940 is an abundant number, since it is smaller than the sum of its proper divisors (86543618196).

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

27831512940 is a wasteful number, since it uses less digits than its factorization.

27831512940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 27831512940 in words is "twenty-seven billion, eight hundred thirty-one million, five hundred twelve thousand, nine hundred forty".