10736387709152 has 144 divisors (see below), whose sum is σ = 25702707179520. Its totient is φ = 4396512556800.

The previous prime is 10736387709127. The next prime is 10736387709277. The reversal of 10736387709152 is 25190778363701.

It is a junction number, because it is equal to n+sod(n) for n = 10736387709091 and 10736387709100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2442077 + ... + 5237987.

It is an arithmetic number, because the mean of its divisors is an integer number (178491022080).

Almost surely, 2^{10736387709152} 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 10736387709152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12851353589760).

10736387709152 is an abundant number, since it is smaller than the sum of its proper divisors (14966319470368).

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

10736387709152 is a wasteful number, since it uses less digits than its factorization.

10736387709152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796045 (or 2796030 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 59.

The spelling of 10736387709152 in words is "ten trillion, seven hundred thirty-six billion, three hundred eighty-seven million, seven hundred nine thousand, one hundred fifty-two".