54402035616 has 192 divisors, whose sum is σ = 161920805760. Its totient is φ = 17766604800.

The previous prime is 54402035599. The next prime is 54402035629. The reversal of 54402035616 is 61653020445.

54402035616 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 2 + 0 + 35 + 616 = 666.

54402035616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8461395 + ... + 8467821.

It is an arithmetic number, because the mean of its divisors is an integer number (843337530).

Almost surely, 2^54402035616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54402035616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80960402880).

54402035616 is an abundant number, since it is smaller than the sum of its proper divisors (107518770144).

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

54402035616 is a wasteful number, since it uses less digits than its factorization.

54402035616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54402035616 in words is "fifty-four billion, four hundred two million, thirty-five thousand, six hundred sixteen".