1072870037280 has 1152 divisors, whose sum is σ = 4075868160000. Its totient is φ = 256124436480.

The previous prime is 1072870037219. The next prime is 1072870037287. The reversal of 1072870037280 is 827300782701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1072870037287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5391306621 + ... + 5391306819.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080000).

Almost surely, 2^{1072870037280} is an apocalyptic number.

1072870037280 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 1072870037280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080000).

1072870037280 is an abundant number, since it is smaller than the sum of its proper divisors (3002998122720).

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

1072870037280 is a wasteful number, since it uses less digits than its factorization.

1072870037280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1072870037280 in words is "one trillion, seventy-two billion, eight hundred seventy million, thirty-seven thousand, two hundred eighty".