10762548480 has 216 divisors, whose sum is σ = 39197951520. Its totient is φ = 2718904320.

The previous prime is 10762548449. The next prime is 10762548487. The reversal of 10762548480 is 8484526701.

10762548480 is a `hidden beast` number, since 1 + 0 + 7 + 62 + 548 + 48 + 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 not an unprimeable number, because it can be changed into a prime (10762548487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194295 + ... + 243465.

Almost surely, 2^10762548480 is an apocalyptic number.

10762548480 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 10762548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598975760).

10762548480 is an abundant number, since it is smaller than the sum of its proper divisors (28435403040).

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

10762548480 is a wasteful number, since it uses less digits than its factorization.

10762548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49217 (or 49200 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10762548480 in words is "ten billion, seven hundred sixty-two million, five hundred forty-eight thousand, four hundred eighty".