1070504248320 has 264 divisors, whose sum is σ = 3994599989016. Its totient is φ = 263508590592.

The previous prime is 1070504248291. The next prime is 1070504248327. The reversal of 1070504248320 is 238424050701.

It is a happy number.

1070504248320 is a `hidden beast` number, since 1 + 0 + 70 + 50 + 42 + 483 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322274304 + 1070181974016 = 17952^2 + 1034496^2 .

It is a super-2 number, since 2×1070504248320² (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 (1070504248327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294477 + ... + 1492556.

Almost surely, 2^{1070504248320} is an apocalyptic number.

1070504248320 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 1070504248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997299994508).

1070504248320 is an abundant number, since it is smaller than the sum of its proper divisors (2924095740696).

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

1070504248320 is a wasteful number, since it uses less digits than its factorization.

1070504248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787077 (or 1787056 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1070504248320 in words is "one trillion, seventy billion, five hundred four million, two hundred forty-eight thousand, three hundred twenty".