1607121511772 has 192 divisors, whose sum is σ = 3549488947200. Its totient is φ = 620876759040.

The previous prime is 1607121511759. The next prime is 1607121511781. The reversal of 1607121511772 is 2771151217061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604861868 + ... + 604864524.

It is an arithmetic number, because the mean of its divisors is an integer number (18486921600).

Almost surely, 2^{1607121511772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1607121511772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774744473600).

1607121511772 is an abundant number, since it is smaller than the sum of its proper divisors (1942367435428).

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

1607121511772 is a wasteful number, since it uses less digits than its factorization.

1607121511772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 41.

The spelling of 1607121511772 in words is "one trillion, six hundred seven billion, one hundred twenty-one million, five hundred eleven thousand, seven hundred seventy-two".