16011581693952 has 896 divisors, whose sum is σ = 50001943541760. Its totient is φ = 4516211589120.

The previous prime is 16011581693903. The next prime is 16011581693969. The reversal of 16011581693952 is 25939618511061.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16011581693892 and 16011581693901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48373358427 + ... + 48373358757.

It is an arithmetic number, because the mean of its divisors is an integer number (55805740560).

Almost surely, 2^{16011581693952} is an apocalyptic number.

16011581693952 is a gapful number since it is divisible by the number (12) 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 16011581693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25000971770880).

16011581693952 is an abundant number, since it is smaller than the sum of its proper divisors (33990361847808).

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

16011581693952 is a wasteful number, since it uses less digits than its factorization.

16011581693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 57.

The spelling of 16011581693952 in words is "sixteen trillion, eleven billion, five hundred eighty-one million, six hundred ninety-three thousand, nine hundred fifty-two".