1601901524160 has 672 divisors, whose sum is σ = 6599243819520. Its totient is φ = 364731365376.

The previous prime is 1601901524159. The next prime is 1601901524177. The reversal of 1601901524160 is 614251091061.

1601901524160 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 90 + 152 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1601901524160² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111336487 + ... + 111350873.

Almost surely, 2^{1601901524160} is an apocalyptic number.

1601901524160 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 1601901524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299621909760).

1601901524160 is an abundant number, since it is smaller than the sum of its proper divisors (4997342295360).

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

1601901524160 is a wasteful number, since it uses less digits than its factorization.

1601901524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14667 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1601901524160 in words is "one trillion, six hundred one billion, nine hundred one million, five hundred twenty-four thousand, one hundred sixty".