60506401892544 has 448 divisors, whose sum is σ = 182958787630080. Its totient is φ = 19597772759040.

The previous prime is 60506401892537. The next prime is 60506401892557. The reversal of 60506401892544 is 44529810460506.

It is a happy number.

60506401892544 is a `hidden beast` number, since 6 + 0 + 5 + 0 + 6 + 4 + 0 + 1 + 8 + 92 + 544 = 666.

It is a super-2 number, since 2×60506401892544² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15663058357 + ... + 15663062219.

It is an arithmetic number, because the mean of its divisors is an integer number (408390150960).

Almost surely, 2^{60506401892544} is an apocalyptic number.

60506401892544 is a gapful number since it is divisible by the number (64) 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 60506401892544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91479393815040).

60506401892544 is an abundant number, since it is smaller than the sum of its proper divisors (122452385737536).

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

60506401892544 is a wasteful number, since it uses less digits than its factorization.

60506401892544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 60506401892544 in words is "sixty trillion, five hundred six billion, four hundred one million, eight hundred ninety-two thousand, five hundred forty-four".