1073146475520 has 1584 divisors, whose sum is σ = 4648043312640. Its totient is φ = 236442157056.

The previous prime is 1073146475503. The next prime is 1073146475581. The reversal of 1073146475520 is 255746413701.

1073146475520 is a `hidden beast` number, since 1 + 0 + 7 + 31 + 4 + 64 + 7 + 552 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1767951057 + ... + 1767951663.

Almost surely, 2^{1073146475520} is an apocalyptic number.

1073146475520 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 1073146475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324021656320).

1073146475520 is an abundant number, since it is smaller than the sum of its proper divisors (3574896837120).

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

1073146475520 is an equidigital number, since it uses as much as digits as its factorization.

1073146475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1073146475520 in words is "one trillion, seventy-three billion, one hundred forty-six million, four hundred seventy-five thousand, five hundred twenty".