21357556000 has 192 divisors, whose sum is σ = 58647214080. Its totient is φ = 7576320000.

The previous prime is 21357555949. The next prime is 21357556037. The reversal of 21357556000 is 65575312.

It is a super-2 number, since 2×21357556000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798081 + ... + 1809919.

It is an arithmetic number, because the mean of its divisors is an integer number (305454240).

Almost surely, 2^21357556000 is an apocalyptic number.

21357556000 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 21357556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29323607040).

21357556000 is an abundant number, since it is smaller than the sum of its proper divisors (37289658080).

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

21357556000 is a wasteful number, since it uses less digits than its factorization.

21357556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 21357556000 in words is "twenty-one billion, three hundred fifty-seven million, five hundred fifty-six thousand".