1601172357120 has 2160 divisors, whose sum is σ = 7048681855488. Its totient is φ = 334265057280.

The previous prime is 1601172357091. The next prime is 1601172357133. The reversal of 1601172357120 is 217532711061.

1601172357120 is a `hidden beast` number, since 1 + 6 + 0 + 11 + 72 + 3 + 571 + 2 + 0 = 666.

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

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, 34067496937 + ... + 34067496983.

Almost surely, 2^{1601172357120} is an apocalyptic number.

1601172357120 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 1601172357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524340927744).

1601172357120 is an abundant number, since it is smaller than the sum of its proper divisors (5447509498368).

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

1601172357120 is a wasteful number, since it uses less digits than its factorization.

1601172357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 1601172357120 in words is "one trillion, six hundred one billion, one hundred seventy-two million, three hundred fifty-seven thousand, one hundred twenty".