65442149125056 has 560 divisors, whose sum is σ = 212997684240000. Its totient is φ = 19702674524160.

The previous prime is 65442149125043. The next prime is 65442149125091. The reversal of 65442149125056 is 65052194124456.

65442149125056 is a `hidden beast` number, since 6 + 5 + 4 + 42 + 1 + 4 + 91 + 2 + 505 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 65442149124993 and 65442149125011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15811099435 + ... + 15811103573.

Almost surely, 2^{65442149125056} is an apocalyptic number.

65442149125056 is a gapful number since it is divisible by the number (66) 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 65442149125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106498842120000).

65442149125056 is an abundant number, since it is smaller than the sum of its proper divisors (147555535114944).

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

65442149125056 is a wasteful number, since it uses less digits than its factorization.

65442149125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 65442149125056 in words is "sixty-five trillion, four hundred forty-two billion, one hundred forty-nine million, one hundred twenty-five thousand, fifty-six".