60261138432 has 480 divisors, whose sum is σ = 201527726400. Its totient is φ = 17836277760.

The previous prime is 60261138419. The next prime is 60261138449. The reversal of 60261138432 is 23483116206.

60261138432 is a `hidden beast` number, since 6 + 0 + 2 + 611 + 3 + 8 + 4 + 32 = 666.

It is a super-3 number, since 3×60261138432³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401421803 + ... + 1401421845.

It is an arithmetic number, because the mean of its divisors is an integer number (419849430).

Almost surely, 2^60261138432 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 60261138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100763863200).

60261138432 is an abundant number, since it is smaller than the sum of its proper divisors (141266587968).

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

60261138432 is an frugal number, since it uses more digits than its factorization.

60261138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 60261138432 in words is "sixty billion, two hundred sixty-one million, one hundred thirty-eight thousand, four hundred thirty-two".