10356130713600 has 2340 divisors, whose sum is σ = 45309456040464. Its totient is φ = 2330978549760.

The previous prime is 10356130713581. The next prime is 10356130713601. The reversal of 10356130713600 is 631703165301.

It is a happy number.

10356130713600 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 1 + 30 + 7 + 13 + 600 = 666.

It is a super-3 number, since 3×10356130713600³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10356130713601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 33733324647 + ... + 33733324953.

Almost surely, 2^{10356130713600} is an apocalyptic number.

10356130713600 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 10356130713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654728020232).

10356130713600 is an abundant number, since it is smaller than the sum of its proper divisors (34953325326864).

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

10356130713600 is an equidigital number, since it uses as much as digits as its factorization.

10356130713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 10356130713600 its reverse (631703165301), we get a palindrome (10987833878901).

The spelling of 10356130713600 in words is "ten trillion, three hundred fifty-six billion, one hundred thirty million, seven hundred thirteen thousand, six hundred".