26106121101456 has 200 divisors, whose sum is σ = 85269994603200. Its totient is φ = 7638154433280.

The previous prime is 26106121101433. The next prime is 26106121101479. The reversal of 26106121101456 is 65410112160162.

26106121101456 is a `hidden beast` number, since 2 + 6 + 10 + 612 + 1 + 10 + 14 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26106121101433) and next prime (26106121101479).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26106121101456.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31159636 + ... + 31986483.

It is an arithmetic number, because the mean of its divisors is an integer number (426349973016).

Almost surely, 2^{26106121101456} is an apocalyptic number.

It is an amenable number.

26106121101456 is an abundant number, since it is smaller than the sum of its proper divisors (59163873501744).

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

26106121101456 is a wasteful number, since it uses less digits than its factorization.

26106121101456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63146179 (or 63146164 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 26106121101456 in words is "twenty-six trillion, one hundred six billion, one hundred twenty-one million, one hundred one thousand, four hundred fifty-six".