27124179840 has 384 divisors, whose sum is σ = 96915218400. Its totient is φ = 6985875456.

The previous prime is 27124179839. The next prime is 27124179851. The reversal of 27124179840 is 4897142172.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×27124179840² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24024396 + ... + 24025524.

Almost surely, 2^27124179840 is an apocalyptic number.

27124179840 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 27124179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48457609200).

27124179840 is an abundant number, since it is smaller than the sum of its proper divisors (69791038560).

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

27124179840 is a wasteful number, since it uses less digits than its factorization.

27124179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 27124179840 in words is "twenty-seven billion, one hundred twenty-four million, one hundred seventy-nine thousand, eight hundred forty".