26497152000 has 1408 divisors, whose sum is σ = 115879196160. Its totient is φ = 5898240000.

The previous prime is 26497151987. The next prime is 26497152007. The reversal of 26497152000 is 25179462.

26497152000 is a `hidden beast` number, since 2 + 64 + 9 + 71 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×26497152000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26497152007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646271980 + ... + 646272020.

Almost surely, 2^26497152000 is an apocalyptic number.

26497152000 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 26497152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57939598080).

26497152000 is an abundant number, since it is smaller than the sum of its proper divisors (89382044160).

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

26497152000 is a wasteful number, since it uses less digits than its factorization.

26497152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 26497152000 in words is "twenty-six billion, four hundred ninety-seven million, one hundred fifty-two thousand".