10615348961280 has 3360 divisors, whose sum is σ = 49203719744256. Its totient is φ = 2171269545984.

The previous prime is 10615348961171. The next prime is 10615348961299. The reversal of 10615348961280 is 8216984351601.

It is a happy number.

10615348961280 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 534 + 8 + 96 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-4 number, since 4×10615348961280⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63564963757 + ... + 63564963923.

Almost surely, 2^{10615348961280} is an apocalyptic number.

10615348961280 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 10615348961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24601859872128).

10615348961280 is an abundant number, since it is smaller than the sum of its proper divisors (38588370782976).

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

10615348961280 is a wasteful number, since it uses less digits than its factorization.

10615348961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10615348961280 in words is "ten trillion, six hundred fifteen billion, three hundred forty-eight million, nine hundred sixty-one thousand, two hundred eighty".