16111509120 has 640 divisors, whose sum is σ = 68068598400. Its totient is φ = 3553320960.

The previous prime is 16111509119. The next prime is 16111509121. The reversal of 16111509120 is 2190511161.

It is an interprime number because it is at equal distance from previous prime (16111509119) and next prime (16111509121).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×16111509120² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (16111509121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10522755 + ... + 10524285.

It is an arithmetic number, because the mean of its divisors is an integer number (106357185).

Almost surely, 2^16111509120 is an apocalyptic number.

16111509120 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 16111509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34034299200).

16111509120 is an abundant number, since it is smaller than the sum of its proper divisors (51957089280).

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

16111509120 is a wasteful number, since it uses less digits than its factorization.

16111509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 16111509120 in words is "sixteen billion, one hundred eleven million, five hundred nine thousand, one hundred twenty".