27679101450 has 384 divisors, whose sum is σ = 93318027264. Its totient is φ = 5242752000.

The previous prime is 27679101431. The next prime is 27679101493. The reversal of 27679101450 is 5410197672.

It is a happy number.

It is a super-2 number, since 2×27679101450² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12461340 + ... + 12463560.

It is an arithmetic number, because the mean of its divisors is an integer number (243015696).

Almost surely, 2^27679101450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27679101450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46659013632).

27679101450 is an abundant number, since it is smaller than the sum of its proper divisors (65638925814).

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

27679101450 is a wasteful number, since it uses less digits than its factorization.

27679101450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 27679101450 in words is "twenty-seven billion, six hundred seventy-nine million, one hundred one thousand, four hundred fifty".