10878377552640 has 2880 divisors, whose sum is σ = 46416652394112. Its totient is φ = 2407897497600.

The previous prime is 10878377552591. The next prime is 10878377552671. The reversal of 10878377552640 is 4625577387801.

It is a happy number.

10878377552640 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 8 + 3 + 77 + 552 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 60101533350 + ... + 60101533530.

Almost surely, 2^{10878377552640} is an apocalyptic number.

10878377552640 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 10878377552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23208326197056).

10878377552640 is an abundant number, since it is smaller than the sum of its proper divisors (35538274841472).

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

10878377552640 is a wasteful number, since it uses less digits than its factorization.

10878377552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 10878377552640 in words is "ten trillion, eight hundred seventy-eight billion, three hundred seventy-seven million, five hundred fifty-two thousand, six hundred forty".