26260890501456 has 320 divisors, whose sum is σ = 81700595827200. Its totient is φ = 8075976749568.

The previous prime is 26260890501353. The next prime is 26260890501487. The reversal of 26260890501456 is 65410509806262.

26260890501456 is a `hidden beast` number, since 2 + 6 + 2 + 6 + 0 + 8 + 90 + 501 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2100360901 + ... + 2100373403.

It is an arithmetic number, because the mean of its divisors is an integer number (255314361960).

Almost surely, 2^{26260890501456} is an apocalyptic number.

26260890501456 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 26260890501456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40850297913600).

26260890501456 is an abundant number, since it is smaller than the sum of its proper divisors (55439705325744).

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

26260890501456 is a wasteful number, since it uses less digits than its factorization.

26260890501456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14772 (or 14734 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 26260890501456 in words is "twenty-six trillion, two hundred sixty billion, eight hundred ninety million, five hundred one thousand, four hundred fifty-six".