1073006161920 has 2496 divisors, whose sum is σ = 5019969024000. Its totient is φ = 212548976640.

The previous prime is 1073006161919. The next prime is 1073006161921. The reversal of 1073006161920 is 291616003701.

1073006161920 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 0 + 616 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1073006161919) and next prime (1073006161921).

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 (1073006161921) 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, 13582356441 + ... + 13582356519.

Almost surely, 2^{1073006161920} is an apocalyptic number.

1073006161920 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 1073006161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509984512000).

1073006161920 is an abundant number, since it is smaller than the sum of its proper divisors (3946962862080).

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

1073006161920 is a wasteful number, since it uses less digits than its factorization.

1073006161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1073006161920 in words is "one trillion, seventy-three billion, six million, one hundred sixty-one thousand, nine hundred twenty".