21074157000 has 384 divisors, whose sum is σ = 77103018720. Its totient is φ = 5160960000.

The previous prime is 21074156921. The next prime is 21074157011. The reversal of 21074157000 is 75147012.

21074157000 is a `hidden beast` number, since 21 + 0 + 74 + 1 + 570 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 149377284 + 20924779716 = 12222^2 + 144654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32876680 + ... + 32877320.

Almost surely, 2^21074157000 is an apocalyptic number.

21074157000 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 21074157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38551509360).

21074157000 is an abundant number, since it is smaller than the sum of its proper divisors (56028861720).

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

21074157000 is a wasteful number, since it uses less digits than its factorization.

21074157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 21074157000 in words is "twenty-one billion, seventy-four million, one hundred fifty-seven thousand".