60342137856 has 1056 divisors, whose sum is σ = 242631008256. Its totient is φ = 13934592000.

The previous prime is 60342137851. The next prime is 60342137903. The reversal of 60342137856 is 65873124306.

60342137856 is a `hidden beast` number, since 603 + 4 + 2 + 1 + 37 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60342137851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285981591 + ... + 285981801.

Almost surely, 2^60342137856 is an apocalyptic number.

60342137856 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 60342137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121315504128).

60342137856 is an abundant number, since it is smaller than the sum of its proper divisors (182288870400).

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

60342137856 is a wasteful number, since it uses less digits than its factorization.

60342137856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 60342137856 in words is "sixty billion, three hundred forty-two million, one hundred thirty-seven thousand, eight hundred fifty-six".