26162661420 has 480 divisors, whose sum is σ = 101945733120. Its totient is φ = 5481146880.

The previous prime is 26162661407. The next prime is 26162661433. The reversal of 26162661420 is 2416626162.

26162661420 is a `hidden beast` number, since 2 + 6 + 1 + 626 + 6 + 1 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (26162661407) and next prime (26162661433).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6677302 + ... + 6681218.

It is an arithmetic number, because the mean of its divisors is an integer number (212386944).

Almost surely, 2^26162661420 is an apocalyptic number.

26162661420 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 26162661420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50972866560).

26162661420 is an abundant number, since it is smaller than the sum of its proper divisors (75783071700).

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

26162661420 is a wasteful number, since it uses less digits than its factorization.

26162661420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26162661420 in words is "twenty-six billion, one hundred sixty-two million, six hundred sixty-one thousand, four hundred twenty".