10036821600 has 432 divisors, whose sum is σ = 38413760112. Its totient is φ = 2451271680.

The previous prime is 10036821589. The next prime is 10036821617. The reversal of 10036821600 is 612863001.

10036821600 is a `hidden beast` number, since 1 + 0 + 0 + 36 + 8 + 21 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14694859 + ... + 14695541.

It is an arithmetic number, because the mean of its divisors is an integer number (88920741).

Almost surely, 2^10036821600 is an apocalyptic number.

10036821600 is a gapful number since it is divisible by the number (10) 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 10036821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206880056).

10036821600 is an abundant number, since it is smaller than the sum of its proper divisors (28376938512).

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

10036821600 is a wasteful number, since it uses less digits than its factorization.

10036821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10036821600 in words is "ten billion, thirty-six million, eight hundred twenty-one thousand, six hundred".