10927251661500 has 480 divisors, whose sum is σ = 39734195941440. Its totient is φ = 2598179328000.

The previous prime is 10927251661457. The next prime is 10927251661553. The reversal of 10927251661500 is 516615272901.

It is a happy number.

10927251661500 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 7 + 25 + 1 + 6 + 615 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12663840 + ... + 13499160.

It is an arithmetic number, because the mean of its divisors is an integer number (82779574878).

Almost surely, 2^{10927251661500} is an apocalyptic number.

10927251661500 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 10927251661500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19867097970720).

10927251661500 is an abundant number, since it is smaller than the sum of its proper divisors (28806944279940).

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

10927251661500 is a wasteful number, since it uses less digits than its factorization.

10927251661500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835388 (or 835367 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10927251661500 in words is "ten trillion, nine hundred twenty-seven billion, two hundred fifty-one million, six hundred sixty-one thousand, five hundred".