26227152000 has 1280 divisors, whose sum is σ = 115521120000. Its totient is φ = 5893171200.

The previous prime is 26227151963. The next prime is 26227152001. The reversal of 26227152000 is 25172262.

26227152000 is a `hidden beast` number, since 2 + 622 + 7 + 15 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×26227152000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26227152001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 444527971 + ... + 444528029.

It is an arithmetic number, because the mean of its divisors is an integer number (90250875).

Almost surely, 2^26227152000 is an apocalyptic number.

26227152000 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 26227152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57760560000).

26227152000 is an abundant number, since it is smaller than the sum of its proper divisors (89293968000).

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

26227152000 is an frugal number, since it uses more digits than its factorization.

26227152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 26227152000 in words is "twenty-six billion, two hundred twenty-seven million, one hundred fifty-two thousand".