11935877472064 has 112 divisors (see below), whose sum is σ = 29325645151488. Its totient is φ = 4693610446848.

The previous prime is 11935877472047. The next prime is 11935877472107. The reversal of 11935877472064 is 46027477853911.

11935877472064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 11935877471987 and 11935877472005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5163409 + ... + 7108624.

It is an arithmetic number, because the mean of its divisors is an integer number (261836117424).

It is a 1-persistent number, because it is pandigital, but 2⋅11935877472064 = 23871754944128 is not.

Almost surely, 2^{11935877472064} is an apocalyptic number.

11935877472064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11935877472064 is an abundant number, since it is smaller than the sum of its proper divisors (17389767679424).

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

11935877472064 is a wasteful number, since it uses less digits than its factorization.

11935877472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12272232 (or 12272222 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

The spelling of 11935877472064 in words is "eleven trillion, nine hundred thirty-five billion, eight hundred seventy-seven million, four hundred seventy-two thousand, sixty-four".