10920711622500 has 135 divisors (see below), whose sum is σ = 34496938979503. Its totient is φ = 2912057580000.

The previous prime is 10920711622489. The next prime is 10920711622543. The reversal of 10920711622500 is 522611702901.

The square root of 10920711622500 is 3304650.

It is a perfect power (a square), and thus also a powerful number.

10920711622500 is a `hidden beast` number, since 1 + 0 + 9 + 20 + 7 + 1 + 1 + 622 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 856183791204 + 10064527831296 = 925302^2 + 3172464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 495686485 + ... + 495708515.

Almost surely, 2^{10920711622500} is an apocalyptic number.

10920711622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10920711622500 is the 3304650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10920711622500

10920711622500 is an abundant number, since it is smaller than the sum of its proper divisors (23576227357003).

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

10920711622500 is an frugal number, since it uses more digits than its factorization.

10920711622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44092 (or 22041 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 10920711622500 by its sum of digits (36), we get a square (393145618410000 = 19827900²).

10920711622500 divided by its sum of digits (36) gives a square (303353100625 = 550775²).

The spelling of 10920711622500 in words is "ten trillion, nine hundred twenty billion, seven hundred eleven million, six hundred twenty-two thousand, five hundred".