10612689315300 has 216 divisors, whose sum is σ = 33361069833000. Its totient is φ = 2821872936960.

The previous prime is 10612689315259. The next prime is 10612689315323. The reversal of 10612689315300 is 351398621601.

10612689315300 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 6 + 89 + 31 + 530 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2391532345764 + 8221156969536 = 1546458^2 + 2867256^2 .

It is a super-2 number, since 2×10612689315300² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1661084506 + ... + 1661090894.

It is an arithmetic number, because the mean of its divisors is an integer number (154449397375).

Almost surely, 2^{10612689315300} is an apocalyptic number.

10612689315300 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 10612689315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680534916500).

10612689315300 is an abundant number, since it is smaller than the sum of its proper divisors (22748380517700).

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

10612689315300 is a wasteful number, since it uses less digits than its factorization.

10612689315300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11445 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10612689315300 in words is "ten trillion, six hundred twelve billion, six hundred eighty-nine million, three hundred fifteen thousand, three hundred".