21357033679800 has 1152 divisors, whose sum is σ = 97006603680000. Its totient is φ = 4268923223040.

The previous prime is 21357033679777. The next prime is 21357033679853. The reversal of 21357033679800 is 897633075312.

21357033679800 is a `hidden beast` number, since 2 + 1 + 3 + 570 + 3 + 3 + 67 + 9 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×21357033679800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65192811 + ... + 65519589.

It is an arithmetic number, because the mean of its divisors is an integer number (84207121250).

Almost surely, 2^{21357033679800} is an apocalyptic number.

21357033679800 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 21357033679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48503301840000).

21357033679800 is an abundant number, since it is smaller than the sum of its proper divisors (75649570000200).

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

21357033679800 is a wasteful number, since it uses less digits than its factorization.

21357033679800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326850 (or 326828 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 21357033679800 in words is "twenty-one trillion, three hundred fifty-seven billion, thirty-three million, six hundred seventy-nine thousand, eight hundred".