16115475661600 has 648 divisors, whose sum is σ = 48071071043604. Its totient is φ = 5258663424000.

The previous prime is 16115475661553. The next prime is 16115475661601. The reversal of 16115475661600 is 616657451161.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4114877162256 + 12000598499344 = 2028516^2 + 3464188^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (16115475661601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2297939694 + ... + 2297946706.

Almost surely, 2^{16115475661600} is an apocalyptic number.

16115475661600 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 16115475661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24035535521802).

16115475661600 is an abundant number, since it is smaller than the sum of its proper divisors (31955595382004).

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

16115475661600 is a wasteful number, since it uses less digits than its factorization.

16115475661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 16115475661600 in words is "sixteen trillion, one hundred fifteen billion, four hundred seventy-five million, six hundred sixty-one thousand, six hundred".