16100519040 has 256 divisors, whose sum is σ = 57731673600. Its totient is φ = 4293098496.

The previous prime is 16100518999. The next prime is 16100519129. The reversal of 16100519040 is 4091500161.

16100519040 is a `hidden beast` number, since 1 + 6 + 100 + 519 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16100518995 and 16100519013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1393929 + ... + 1405431.

It is an arithmetic number, because the mean of its divisors is an integer number (225514350).

Almost surely, 2^16100519040 is an apocalyptic number.

16100519040 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 16100519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28865836800).

16100519040 is an abundant number, since it is smaller than the sum of its proper divisors (41631154560).

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

16100519040 is an frugal number, since it uses more digits than its factorization.

16100519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11543 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 16100519040 in words is "sixteen billion, one hundred million, five hundred nineteen thousand, forty".