26505100664000 has 448 divisors, whose sum is σ = 78684028121088. Its totient is φ = 8653699584000.

The previous prime is 26505100663999. The next prime is 26505100664017. The reversal of 26505100664000 is 46600150562.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×26505100664000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 97247915 + ... + 97520085.

Almost surely, 2^{26505100664000} is an apocalyptic number.

26505100664000 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 26505100664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39342014060544).

26505100664000 is an abundant number, since it is smaller than the sum of its proper divisors (52178927457088).

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

26505100664000 is a wasteful number, since it uses less digits than its factorization.

26505100664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272289 (or 272269 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 26505100664000 in words is "twenty-six trillion, five hundred five billion, one hundred million, six hundred sixty-four thousand".