26690161251600 has 2400 divisors, whose sum is σ = 125811204710400. Its totient is φ = 5366342016000.

The previous prime is 26690161251599. The next prime is 26690161251619. The reversal of 26690161251600 is 615216109662.

26690161251600 is a `hidden beast` number, since 2 + 6 + 6 + 9 + 0 + 16 + 1 + 25 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3789597679 + ... + 3789604721.

It is an arithmetic number, because the mean of its divisors is an integer number (52421335296).

Almost surely, 2^{26690161251600} is an apocalyptic number.

26690161251600 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 26690161251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62905602355200).

26690161251600 is an abundant number, since it is smaller than the sum of its proper divisors (99121043458800).

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

26690161251600 is a wasteful number, since it uses less digits than its factorization.

26690161251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 26690161251600 in words is "twenty-six trillion, six hundred ninety billion, one hundred sixty-one million, two hundred fifty-one thousand, six hundred".