60135229440 has 1152 divisors, whose sum is σ = 255425788800. Its totient is φ = 13456834560.

The previous prime is 60135229409. The next prime is 60135229457. The reversal of 60135229440 is 4492253106.

It is a happy number.

60135229440 is a `hidden beast` number, since 6 + 0 + 1 + 3 + 522 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 60135229395 and 60135229404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4625786874 + ... + 4625786886.

It is an arithmetic number, because the mean of its divisors is an integer number (221723775).

Almost surely, 2^60135229440 is an apocalyptic number.

60135229440 is a gapful number since it is divisible by the number (60) 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 60135229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127712894400).

60135229440 is an abundant number, since it is smaller than the sum of its proper divisors (195290559360).

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

60135229440 is an equidigital number, since it uses as much as digits as its factorization.

60135229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 60135229440 in words is "sixty billion, one hundred thirty-five million, two hundred twenty-nine thousand, four hundred forty".