10839977280 has 1344 divisors, whose sum is σ = 47929190400. Its totient is φ = 2299207680.

The previous prime is 10839977231. The next prime is 10839977333. The reversal of 10839977280 is 8277993801.

10839977280 is a `hidden beast` number, since 108 + 399 + 7 + 72 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 373792306 + ... + 373792334.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 2^10839977280 is an apocalyptic number.

10839977280 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 10839977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964595200).

10839977280 is an abundant number, since it is smaller than the sum of its proper divisors (37089213120).

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

10839977280 is a wasteful number, since it uses less digits than its factorization.

10839977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 10839977280 in words is "ten billion, eight hundred thirty-nine million, nine hundred seventy-seven thousand, two hundred eighty".