10377924960 has 240 divisors, whose sum is σ = 35461356336. Its totient is φ = 2551191552.

The previous prime is 10377924943. The next prime is 10377925021. The reversal of 10377924960 is 6942977301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13708902 + ... + 13709658.

Almost surely, 2^10377924960 is an apocalyptic number.

10377924960 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 10377924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730678168).

10377924960 is an abundant number, since it is smaller than the sum of its proper divisors (25083431376).

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

10377924960 is an frugal number, since it uses more digits than its factorization.

10377924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 10377924960 in words is "ten billion, three hundred seventy-seven million, nine hundred twenty-four thousand, nine hundred sixty".