60390157842432 has 576 divisors, whose sum is σ = 201634589520000. Its totient is φ = 17220368793600.

The previous prime is 60390157842397. The next prime is 60390157842439. The reversal of 60390157842432 is 23424875109306.

60390157842432 is a `hidden beast` number, since 6 + 0 + 3 + 90 + 15 + 78 + 42 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60390157842439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573938307 + ... + 574043517.

It is an arithmetic number, because the mean of its divisors is an integer number (350060051250).

It is a 1-persistent number, because it is pandigital, but 2⋅60390157842432 = 120780315684864 is not.

Almost surely, 2^{60390157842432} 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 60390157842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100817294760000).

60390157842432 is an abundant number, since it is smaller than the sum of its proper divisors (141244431677568).

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

60390157842432 is a wasteful number, since it uses less digits than its factorization.

60390157842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105418 (or 105395 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 60390157842432 in words is "sixty trillion, three hundred ninety billion, one hundred fifty-seven million, eight hundred forty-two thousand, four hundred thirty-two".