10239977952 has 288 divisors, whose sum is σ = 31978346400. Its totient is φ = 3095801856.

The previous prime is 10239977947. The next prime is 10239977953. The reversal of 10239977952 is 25977993201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10239977952² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239977953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27452838 + ... + 27453210.

It is an arithmetic number, because the mean of its divisors is an integer number (111035925).

Almost surely, 2^10239977952 is an apocalyptic number.

10239977952 is a gapful number since it is divisible by the number (12) 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 10239977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989173200).

10239977952 is an abundant number, since it is smaller than the sum of its proper divisors (21738368448).

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

10239977952 is a wasteful number, since it uses less digits than its factorization.

10239977952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 10239977952 in words is "ten billion, two hundred thirty-nine million, nine hundred seventy-seven thousand, nine hundred fifty-two".