26087005414080 has 1008 divisors, whose sum is σ = 105961756502784. Its totient is φ = 5848653496320.

The previous prime is 26087005414027. The next prime is 26087005414133. The reversal of 26087005414080 is 8041450078062.

26087005414080 is a `hidden beast` number, since 2 + 60 + 8 + 7 + 0 + 0 + 541 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26087005414027) and next prime (26087005414133).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335386074 + ... + 335463846.

Almost surely, 2^{26087005414080} is an apocalyptic number.

26087005414080 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 26087005414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980878251392).

26087005414080 is an abundant number, since it is smaller than the sum of its proper divisors (79874751088704).

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

26087005414080 is a wasteful number, since it uses less digits than its factorization.

26087005414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77874 (or 77844 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 26087005414080 in words is "twenty-six trillion, eighty-seven billion, five million, four hundred fourteen thousand, eighty".