10636131717120 has 1664 divisors, whose sum is σ = 44171500068864. Its totient is φ = 2123725012992.

The previous prime is 10636131717109. The next prime is 10636131717131. The reversal of 10636131717120 is 2171713163601.

It is an interprime number because it is at equal distance from previous prime (10636131717109) and next prime (10636131717131).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×10636131717120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13759549054 + ... + 13759549826.

Almost surely, 2^{10636131717120} is an apocalyptic number.

10636131717120 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 10636131717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22085750034432).

10636131717120 is an abundant number, since it is smaller than the sum of its proper divisors (33535368351744).

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

10636131717120 is a wasteful number, since it uses less digits than its factorization.

10636131717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 10636131717120 in words is "ten trillion, six hundred thirty-six billion, one hundred thirty-one million, seven hundred seventeen thousand, one hundred twenty".