26151552000 has 1408 divisors, whose sum is σ = 117718548480. Its totient is φ = 5595955200.

The previous prime is 26151551983. The next prime is 26151552029. The reversal of 26151552000 is 25515162.

26151552000 is a `hidden beast` number, since 2 + 61 + 51 + 552 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 556415977 + ... + 556416023.

Almost surely, 2^26151552000 is an apocalyptic number.

26151552000 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 26151552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58859274240).

26151552000 is an abundant number, since it is smaller than the sum of its proper divisors (91566996480).

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

26151552000 is a wasteful number, since it uses less digits than its factorization.

26151552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 26151552000 in words is "twenty-six billion, one hundred fifty-one million, five hundred fifty-two thousand".