10797615360 has 288 divisors, whose sum is σ = 43791310080. Its totient is φ = 2467971072.

The previous prime is 10797615349. The next prime is 10797615371. The reversal of 10797615360 is 6351679701.

10797615360 is a `hidden beast` number, since 107 + 9 + 7 + 6 + 1 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10797615349) and next prime (10797615371).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219604 + ... + 264236.

It is an arithmetic number, because the mean of its divisors is an integer number (152053160).

Almost surely, 2^10797615360 is an apocalyptic number.

10797615360 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 10797615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895655040).

10797615360 is an abundant number, since it is smaller than the sum of its proper divisors (32993694720).

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

10797615360 is an equidigital number, since it uses as much as digits as its factorization.

10797615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44670 (or 44650 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 10797615360 in words is "ten billion, seven hundred ninety-seven million, six hundred fifteen thousand, three hundred sixty".