10736597813760 has 5120 divisors, whose sum is σ = 53218993766400. Its totient is φ = 1987470950400.

The previous prime is 10736597813723. The next prime is 10736597813771. The reversal of 10736597813760 is 6731879563701.

It is a happy number.

10736597813760 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 597 + 8 + 1 + 37 + 6 + 0 = 666.

It is a super-2 number, since 2×10736597813760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 135906301401 + ... + 135906301479.

It is an arithmetic number, because the mean of its divisors is an integer number (10394334720).

Almost surely, 2^{10736597813760} is an apocalyptic number.

10736597813760 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 10736597813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26609496883200).

10736597813760 is an abundant number, since it is smaller than the sum of its proper divisors (42482395952640).

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

10736597813760 is a wasteful number, since it uses less digits than its factorization.

10736597813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 10736597813760 in words is "ten trillion, seven hundred thirty-six billion, five hundred ninety-seven million, eight hundred thirteen thousand, seven hundred sixty".