10611477817920 has 448 divisors, whose sum is σ = 42789555264000. Its totient is φ = 2425096765440.

The previous prime is 10611477817903. The next prime is 10611477817931. The reversal of 10611477817920 is 2971877411601.

10611477817920 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 477 + 81 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10611477817920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587917056 + ... + 587935104.

Almost surely, 2^{10611477817920} is an apocalyptic number.

10611477817920 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 10611477817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394777632000).

10611477817920 is an abundant number, since it is smaller than the sum of its proper divisors (32178077446080).

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

10611477817920 is a wasteful number, since it uses less digits than its factorization.

10611477817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27803 (or 27787 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 10611477817920 in words is "ten trillion, six hundred eleven billion, four hundred seventy-seven million, eight hundred seventeen thousand, nine hundred twenty".