10788561424 has 45 divisors (see below), whose sum is σ = 21870542253. Its totient is φ = 5155176576.

The previous prime is 10788561419. The next prime is 10788561431. The reversal of 10788561424 is 42416588701.

The square root of 10788561424 is 103868.

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

It can be written as a sum of positive squares in only one way, i.e., 916151824 + 9872409600 = 30268^2 + 99360^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9555292 + ... + 9556420.

Almost surely, 2^10788561424 is an apocalyptic number.

10788561424 is the 103868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10788561424

10788561424 is an abundant number, since it is smaller than the sum of its proper divisors (11081980829).

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

10788561424 is an frugal number, since it uses more digits than its factorization.

10788561424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 10788561424 in words is "ten billion, seven hundred eighty-eight million, five hundred sixty-one thousand, four hundred twenty-four".