10751620880 has 640 divisors, whose sum is σ = 35709714432. Its totient is φ = 2903040000.

The previous prime is 10751620853. The next prime is 10751620889. The reversal of 10751620880 is 8802615701.

It is not an unprimeable number, because it can be changed into a prime (10751620889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151431245 + ... + 151431315.

Almost surely, 2^10751620880 is an apocalyptic number.

10751620880 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 10751620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854857216).

10751620880 is an abundant number, since it is smaller than the sum of its proper divisors (24958093552).

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

10751620880 is a wasteful number, since it uses less digits than its factorization.

10751620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 10751620880 in words is "ten billion, seven hundred fifty-one million, six hundred twenty thousand, eight hundred eighty".