26430465600 has 1008 divisors, whose sum is σ = 118687510656. Its totient is φ = 5464166400.

The previous prime is 26430465577. The next prime is 26430465601. The reversal of 26430465600 is 656403462.

26430465600 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 0 + 46 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (26430465601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134164702 + ... + 134164898.

Almost surely, 2^26430465600 is an apocalyptic number.

26430465600 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 26430465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59343755328).

26430465600 is an abundant number, since it is smaller than the sum of its proper divisors (92257045056).

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

26430465600 is a wasteful number, since it uses less digits than its factorization.

26430465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 26430465600 in words is "twenty-six billion, four hundred thirty million, four hundred sixty-five thousand, six hundred".