60415778880000 has 1600 divisors, whose sum is σ = 233522183980800. Its totient is φ = 15397724160000.

The previous prime is 60415778879983. The next prime is 60415778880007. The reversal of 60415778880000 is 8887751406.

It is a happy number.

60415778880000 is a `hidden beast` number, since 6 + 0 + 415 + 77 + 88 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is not an unprimeable number, because it can be changed into a prime (60415778880007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25807678830 + ... + 25807681170.

It is an arithmetic number, because the mean of its divisors is an integer number (145951364988).

Almost surely, 2^{60415778880000} is an apocalyptic number.

60415778880000 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 60415778880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116761091990400).

60415778880000 is an abundant number, since it is smaller than the sum of its proper divisors (173106405100800).

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

60415778880000 is a wasteful number, since it uses less digits than its factorization.

60415778880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 60415778880000 in words is "sixty trillion, four hundred fifteen billion, seven hundred seventy-eight million, eight hundred eighty thousand".