10613606652400 has 60 divisors (see below), whose sum is σ = 26607850439472. Its totient is φ = 4060858193920.

The previous prime is 10613606652367. The next prime is 10613606652403. The reversal of 10613606652400 is 425660631601.

It is a super-2 number, since 2×10613606652400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613606652403) 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 11 ways as a sum of consecutive naturals, for example, 576817249 + ... + 576835648.

Almost surely, 2^{10613606652400} is an apocalyptic number.

10613606652400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10613606652400 is an abundant number, since it is smaller than the sum of its proper divisors (15994243787072).

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

10613606652400 is a wasteful number, since it uses less digits than its factorization.

10613606652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153652938 (or 1153652927 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 10613606652400 in words is "ten trillion, six hundred thirteen billion, six hundred six million, six hundred fifty-two thousand, four hundred".