11874576628860 has 192 divisors, whose sum is σ = 38407409639424. Its totient is φ = 2709184204800.

The previous prime is 11874576628853. The next prime is 11874576628861. The reversal of 11874576628860 is 6882667547811.

It is a super-2 number, since 2×11874576628860² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11874576628861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356117349 + ... + 356150691.

It is an arithmetic number, because the mean of its divisors is an integer number (200038591872).

Almost surely, 2^{11874576628860} is an apocalyptic number.

11874576628860 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 11874576628860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203704819712).

11874576628860 is an abundant number, since it is smaller than the sum of its proper divisors (26532833010564).

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

11874576628860 is a wasteful number, since it uses less digits than its factorization.

11874576628860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65124 (or 65122 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 11874576628860 in words is "eleven trillion, eight hundred seventy-four billion, five hundred seventy-six million, six hundred twenty-eight thousand, eight hundred sixty".