1075913388000 has 384 divisors, whose sum is σ = 4272358970880. Its totient is φ = 260827200000.

The previous prime is 1075913387987. The next prime is 1075913388019. The reversal of 1075913388000 is 8833195701.

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

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 63 ways as a sum of consecutive naturals, for example, 735175 + ... + 1640825.

It is an arithmetic number, because the mean of its divisors is an integer number (11125934820).

Almost surely, 2^{1075913388000} is an apocalyptic number.

1075913388000 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 1075913388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136179485440).

1075913388000 is an abundant number, since it is smaller than the sum of its proper divisors (3196445582880).

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

1075913388000 is a wasteful number, since it uses less digits than its factorization.

1075913388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905696 (or 905672 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1075913388000 in words is "one trillion, seventy-five billion, nine hundred thirteen million, three hundred eighty-eight thousand".