1052211928320 has 864 divisors, whose sum is σ = 4388384931840. Its totient is φ = 236400353280.

The previous prime is 1052211928301. The next prime is 1052211928373. The reversal of 1052211928320 is 238291122501.

1052211928320 is a `hidden beast` number, since 1 + 0 + 522 + 11 + 92 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1052211928320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128455425 + ... + 128463615.

Almost surely, 2^{1052211928320} is an apocalyptic number.

1052211928320 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 1052211928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194192465920).

1052211928320 is an abundant number, since it is smaller than the sum of its proper divisors (3336173003520).

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

1052211928320 is an frugal number, since it uses more digits than its factorization.

1052211928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1052211928320 in words is "one trillion, fifty-two billion, two hundred eleven million, nine hundred twenty-eight thousand, three hundred twenty".