16020577520640 has 2112 divisors, whose sum is σ = 73338655703040. Its totient is φ = 3132655534080.

The previous prime is 16020577520617. The next prime is 16020577520693. The reversal of 16020577520640 is 4602577502061.

16020577520640 is a `hidden beast` number, since 1 + 6 + 0 + 20 + 577 + 52 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11258310969 + ... + 11258312391.

Almost surely, 2^{16020577520640} is an apocalyptic number.

16020577520640 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 16020577520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36669327851520).

16020577520640 is an abundant number, since it is smaller than the sum of its proper divisors (57318078182400).

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

16020577520640 is a wasteful number, since it uses less digits than its factorization.

16020577520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 16020577520640 in words is "sixteen trillion, twenty billion, five hundred seventy-seven million, five hundred twenty thousand, six hundred forty".