1607054522112 has 576 divisors, whose sum is σ = 5394001536000. Its totient is φ = 468235468800.

The previous prime is 1607054522083. The next prime is 1607054522113. The reversal of 1607054522112 is 2112254507061.

1607054522112 is a `hidden beast` number, since 1 + 6 + 0 + 70 + 54 + 522 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607054522113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208731639 + ... + 208739337.

It is an arithmetic number, because the mean of its divisors is an integer number (9364586000).

Almost surely, 2^{1607054522112} is an apocalyptic number.

1607054522112 is a gapful number since it is divisible by the number (12) 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 1607054522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697000768000).

1607054522112 is an abundant number, since it is smaller than the sum of its proper divisors (3786947013888).

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

1607054522112 is a wasteful number, since it uses less digits than its factorization.

1607054522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1607054522112 in words is "one trillion, six hundred seven billion, fifty-four million, five hundred twenty-two thousand, one hundred twelve".