10506283788 has 384 divisors, whose sum is σ = 33988018176. Its totient is φ = 2438553600.

The previous prime is 10506283787. The next prime is 10506283807. The reversal of 10506283788 is 88738260501.

It is a super-2 number, since 2×10506283788² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506283787) 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, 82726581 + ... + 82726707.

It is an arithmetic number, because the mean of its divisors is an integer number (88510464).

Almost surely, 2^10506283788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506283788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994009088).

10506283788 is an abundant number, since it is smaller than the sum of its proper divisors (23481734388).

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

10506283788 is a wasteful number, since it uses less digits than its factorization.

10506283788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10506283788 in words is "ten billion, five hundred six million, two hundred eighty-three thousand, seven hundred eighty-eight".