26677611450 has 432 divisors, whose sum is σ = 89192166336. Its totient is φ = 5685926400.

The previous prime is 26677611449. The next prime is 26677611469. The reversal of 26677611450 is 5411677662.

26677611450 is a `hidden beast` number, since 26 + 6 + 7 + 7 + 611 + 4 + 5 + 0 = 666.

It is a super-2 number, since 2×26677611450² (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 junction number, because it is equal to n+sod(n) for n = 26677611396 and 26677611405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20792509 + ... + 20793791.

It is an arithmetic number, because the mean of its divisors is an integer number (206463348).

Almost surely, 2^26677611450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26677611450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44596083168).

26677611450 is an abundant number, since it is smaller than the sum of its proper divisors (62514554886).

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

26677611450 is a wasteful number, since it uses less digits than its factorization.

26677611450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 26677611450 in words is "twenty-six billion, six hundred seventy-seven million, six hundred eleven thousand, four hundred fifty".