16012654140 has 288 divisors, whose sum is σ = 54209046528. Its totient is φ = 3518592000.

The previous prime is 16012654129. The next prime is 16012654153. The reversal of 16012654140 is 4145621061.

It is a super-3 number, since 3×16012654140³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16012654098 and 16012654107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8557405 + ... + 8559275.

It is an arithmetic number, because the mean of its divisors is an integer number (188225856).

Almost surely, 2^16012654140 is an apocalyptic number.

16012654140 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 16012654140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27104523264).

16012654140 is an abundant number, since it is smaller than the sum of its proper divisors (38196392388).

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

16012654140 is a wasteful number, since it uses less digits than its factorization.

16012654140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 16012654140 in words is "sixteen billion, twelve million, six hundred fifty-four thousand, one hundred forty".