1601977083720 has 512 divisors, whose sum is σ = 5397304872960. Its totient is φ = 377726976000.

The previous prime is 1601977083691. The next prime is 1601977083803. The reversal of 1601977083720 is 273807791061.

It is a super-3 number, since 3×1601977083720³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3475004290 + ... + 3475004750.

It is an arithmetic number, because the mean of its divisors is an integer number (10541611080).

Almost surely, 2^{1601977083720} is an apocalyptic number.

1601977083720 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 1601977083720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698652436480).

1601977083720 is an abundant number, since it is smaller than the sum of its proper divisors (3795327789240).

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

1601977083720 is a wasteful number, since it uses less digits than its factorization.

1601977083720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The spelling of 1601977083720 in words is "one trillion, six hundred one billion, nine hundred seventy-seven million, eighty-three thousand, seven hundred twenty".