51485616 has 120 divisors (see below), whose sum is σ = 177384480. Its totient is φ = 13575168.

The previous prime is 51485597. The next prime is 51485617. The reversal of 51485616 is 61658415.

51485616 is a `hidden beast` number, since 51 + 48 + 561 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51485617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11140 + ... + 15068.

It is an arithmetic number, because the mean of its divisors is an integer number (1478204).

Almost surely, 2^51485616 is an apocalyptic number.

51485616 is a gapful number since it is divisible by the number (56) 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 51485616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88692240).

51485616 is an abundant number, since it is smaller than the sum of its proper divisors (125898864).

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

51485616 is a wasteful number, since it uses less digits than its factorization.

51485616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3954 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 51485616 is about 7175.3477964486. The cubic root of 51485616 is about 372.0163017483.

The spelling of 51485616 in words is "fifty-one million, four hundred eighty-five thousand, six hundred sixteen".