26100421776 has 640 divisors, whose sum is σ = 96518822400. Its totient is φ = 6626672640.

The previous prime is 26100421769. The next prime is 26100421783. The reversal of 26100421776 is 67712400162.

It is an interprime number because it is at equal distance from previous prime (26100421769) and next prime (26100421783).

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 26100421776.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30455140 + ... + 30455996.

It is an arithmetic number, because the mean of its divisors is an integer number (150810660).

Almost surely, 2^26100421776 is an apocalyptic number.

26100421776 is a gapful number since it is divisible by the number (26) 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 26100421776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48259411200).

26100421776 is an abundant number, since it is smaller than the sum of its proper divisors (70418400624).

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

26100421776 is a wasteful number, since it uses less digits than its factorization.

26100421776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 26100421776 in words is "twenty-six billion, one hundred million, four hundred twenty-one thousand, seven hundred seventy-six".