1516561100640 has 144 divisors (see below), whose sum is σ = 5176038381696. Its totient is φ = 404355840000.

The previous prime is 1516561100623. The next prime is 1516561100651. The reversal of 1516561100640 is 460011656151.

1516561100640 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 5 + 6 + 1 + 1 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1516561100595 and 1516561100604.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10006225 + ... + 10156655.

It is an arithmetic number, because the mean of its divisors is an integer number (35944710984).

Almost surely, 2^{1516561100640} is an apocalyptic number.

1516561100640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1516561100640 is an abundant number, since it is smaller than the sum of its proper divisors (3659477281056).

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

1516561100640 is a wasteful number, since it uses less digits than its factorization.

1516561100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157453 (or 157442 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 1516561100640 its reverse (460011656151), we get a palindrome (1976572756791).

The spelling of 1516561100640 in words is "one trillion, five hundred sixteen billion, five hundred sixty-one million, one hundred thousand, six hundred forty".