10621224213600 has 1152 divisors, whose sum is σ = 46522774351872. Its totient is φ = 2032660684800.

The previous prime is 10621224213581. The next prime is 10621224213673. The reversal of 10621224213600 is 631242212601.

It is a super-2 number, since 2×10621224213600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1121916067 + ... + 1121925533.

It is an arithmetic number, because the mean of its divisors is an integer number (40384352736).

Almost surely, 2^{10621224213600} is an apocalyptic number.

10621224213600 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 10621224213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23261387175936).

10621224213600 is an abundant number, since it is smaller than the sum of its proper divisors (35901550138272).

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

10621224213600 is a wasteful number, since it uses less digits than its factorization.

10621224213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10621224213600 in words is "ten trillion, six hundred twenty-one billion, two hundred twenty-four million, two hundred thirteen thousand, six hundred".