60541006417920 has 1040 divisors, whose sum is σ = 251428844346240. Its totient is φ = 13648192339968.

The previous prime is 60541006417817. The next prime is 60541006417921. The reversal of 60541006417920 is 2971460014506.

60541006417920 is a `hidden beast` number, since 6 + 0 + 5 + 410 + 0 + 64 + 179 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (60541006417921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 847651971 + ... + 847723389.

Almost surely, 2^{60541006417920} is an apocalyptic number.

60541006417920 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 60541006417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125714422173120).

60541006417920 is an abundant number, since it is smaller than the sum of its proper divisors (190887837928320).

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

60541006417920 is an equidigital number, since it uses as much as digits as its factorization.

60541006417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71540 (or 71509 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 60541006417920 in words is "sixty trillion, five hundred forty-one billion, six million, four hundred seventeen thousand, nine hundred twenty".