10621021661600 has 144 divisors (see below), whose sum is σ = 29667160555200. Its totient is φ = 3637252270080.

The previous prime is 10621021661599. The next prime is 10621021661617. The reversal of 10621021661600 is 616612012601.

It is a super-2 number, since 2×10621021661600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3706436 + ... + 5914364.

It is an arithmetic number, because the mean of its divisors is an integer number (206021948300).

Almost surely, 2^{10621021661600} is an apocalyptic number.

10621021661600 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 10621021661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833580277600).

10621021661600 is an abundant number, since it is smaller than the sum of its proper divisors (19046138893600).

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

10621021661600 is a wasteful number, since it uses less digits than its factorization.

10621021661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208815 (or 2208802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 10621021661600 in words is "ten trillion, six hundred twenty-one billion, twenty-one million, six hundred sixty-one thousand, six hundred".