16200779801040 has 640 divisors, whose sum is σ = 61806179865600. Its totient is φ = 3879700070400.

The previous prime is 16200779801039. The next prime is 16200779801053. The reversal of 16200779801040 is 4010897700261.

It is a happy number.

16200779801040 is a `hidden beast` number, since 1 + 620 + 0 + 7 + 7 + 9 + 8 + 0 + 10 + 4 + 0 = 666.

It is a super-3 number, since 3×16200779801040³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

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, 345401590 + ... + 345448490.

It is an arithmetic number, because the mean of its divisors is an integer number (96572156040).

Almost surely, 2^{16200779801040} is an apocalyptic number.

16200779801040 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 16200779801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30903089932800).

16200779801040 is an abundant number, since it is smaller than the sum of its proper divisors (45605400064560).

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

16200779801040 is a wasteful number, since it uses less digits than its factorization.

16200779801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47372 (or 47360 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 16200779801040 in words is "sixteen trillion, two hundred billion, seven hundred seventy-nine million, eight hundred one thousand, forty".