1051380288000 has 960 divisors, whose sum is σ = 4370096510208. Its totient is φ = 237971865600.

The previous prime is 1051380287963. The next prime is 1051380288001. The reversal of 1051380288000 is 8820831501.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1051380288000² (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 not an unprimeable number, because it can be changed into a prime (1051380288001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431422782 + ... + 431425218.

Almost surely, 2^{1051380288000} is an apocalyptic number.

1051380288000 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 1051380288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185048255104).

1051380288000 is an abundant number, since it is smaller than the sum of its proper divisors (3318716222208).

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

1051380288000 is a wasteful number, since it uses less digits than its factorization.

1051380288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1051380288000 in words is "one trillion, fifty-one billion, three hundred eighty million, two hundred eighty-eight thousand".