10761315849600 has 96 divisors (see below), whose sum is σ = 35445084111240. Its totient is φ = 2869684224000.

The previous prime is 10761315849577. The next prime is 10761315849601. The reversal of 10761315849600 is 694851316701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10761315849601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560475601 + ... + 560494800.

Almost surely, 2^{10761315849600} is an apocalyptic number.

10761315849600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10761315849600 is an abundant number, since it is smaller than the sum of its proper divisors (24683768261640).

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

10761315849600 is a wasteful number, since it uses less digits than its factorization.

10761315849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120970428 (or 1120970411 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 10761315849600 in words is "ten trillion, seven hundred sixty-one billion, three hundred fifteen million, eight hundred forty-nine thousand, six hundred".