10762053120 has 1280 divisors, whose sum is σ = 49496832000. Its totient is φ = 2155216896.

The previous prime is 10762053089. The next prime is 10762053121. The reversal of 10762053120 is 2135026701.

It is a happy number.

10762053120 is a `hidden beast` number, since 1 + 0 + 7 + 620 + 5 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10762053121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182407651 + ... + 182407709.

It is an arithmetic number, because the mean of its divisors is an integer number (38669400).

Almost surely, 2^10762053120 is an apocalyptic number.

10762053120 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 10762053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416000).

10762053120 is an abundant number, since it is smaller than the sum of its proper divisors (38734778880).

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

10762053120 is a wasteful number, since it uses less digits than its factorization.

10762053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10762053120 its reverse (2135026701), we get a palindrome (12897079821).

The spelling of 10762053120 in words is "ten billion, seven hundred sixty-two million, fifty-three thousand, one hundred twenty".