10938980052 has 288 divisors, whose sum is σ = 37267985664. Its totient is φ = 2612736000.

The previous prime is 10938980047. The next prime is 10938980071. The reversal of 10938980052 is 25008983901.

It is a happy number.

It is a super-2 number, since 2×10938980052² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14450058 + ... + 14450814.

It is an arithmetic number, because the mean of its divisors is an integer number (129402728).

Almost surely, 2^10938980052 is an apocalyptic number.

10938980052 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 10938980052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633992832).

10938980052 is an abundant number, since it is smaller than the sum of its proper divisors (26329005612).

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

10938980052 is a wasteful number, since it uses less digits than its factorization.

10938980052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10938980052 in words is "ten billion, nine hundred thirty-eight million, nine hundred eighty thousand, fifty-two".