16759057355040 has 1536 divisors, whose sum is σ = 72126758043648. Its totient is φ = 3184828416000.

The previous prime is 16759057355021. The next prime is 16759057355057. The reversal of 16759057355040 is 4055375095761.

It is a super-2 number, since 2×16759057355040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6569601765 + ... + 6569604315.

It is an arithmetic number, because the mean of its divisors is an integer number (46957524768).

Almost surely, 2^{16759057355040} is an apocalyptic number.

16759057355040 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 16759057355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36063379021824).

16759057355040 is an abundant number, since it is smaller than the sum of its proper divisors (55367700688608).

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

16759057355040 is a wasteful number, since it uses less digits than its factorization.

16759057355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 19845000, while the sum is 57.

The spelling of 16759057355040 in words is "sixteen trillion, seven hundred fifty-nine billion, fifty-seven million, three hundred fifty-five thousand, forty".