10610242497504 has 192 divisors, whose sum is σ = 33499729569600. Its totient is φ = 3247773843456.

The previous prime is 10610242497497. The next prime is 10610242497509. The reversal of 10610242497504 is 40579424201601.

10610242497504 is a `hidden beast` number, since 1 + 0 + 6 + 10 + 2 + 42 + 4 + 97 + 504 = 666.

10610242497504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10610242497504² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10610242497504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10610242497509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279489 + ... + 4615040.

It is an arithmetic number, because the mean of its divisors is an integer number (174477758175).

Almost surely, 2^{10610242497504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10610242497504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749864784800).

10610242497504 is an abundant number, since it is smaller than the sum of its proper divisors (22889487072096).

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

10610242497504 is a wasteful number, since it uses less digits than its factorization.

10610242497504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894754 (or 4894740 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10610242497504 in words is "ten trillion, six hundred ten billion, two hundred forty-two million, four hundred ninety-seven thousand, five hundred four".