26101828533420 has 144 divisors (see below), whose sum is σ = 81740362948608. Its totient is φ = 6735068403840.

The previous prime is 26101828533419. The next prime is 26101828533457. The reversal of 26101828533420 is 2433582810162.

26101828533420 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 18 + 285 + 334 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42589197 + ... + 43197723.

Almost surely, 2^{26101828533420} is an apocalyptic number.

26101828533420 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 26101828533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40870181474304).

26101828533420 is an abundant number, since it is smaller than the sum of its proper divisors (55638534415188).

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

26101828533420 is a wasteful number, since it uses less digits than its factorization.

26101828533420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616260 (or 616255 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 26101828533420 in words is "twenty-six trillion, one hundred one billion, eight hundred twenty-eight million, five hundred thirty-three thousand, four hundred twenty".