66405162153120 has 768 divisors, whose sum is σ = 247022925004800. Its totient is φ = 14987350425600.

The previous prime is 66405162153091. The next prime is 66405162153173. The reversal of 66405162153120 is 2135126150466.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5041764135 + ... + 5041777305.

It is an arithmetic number, because the mean of its divisors is an integer number (321644433600).

Almost surely, 2^{66405162153120} is an apocalyptic number.

66405162153120 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 66405162153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123511462502400).

66405162153120 is an abundant number, since it is smaller than the sum of its proper divisors (180617762851680).

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

66405162153120 is a wasteful number, since it uses less digits than its factorization.

66405162153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13594 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 66405162153120 in words is "sixty-six trillion, four hundred five billion, one hundred sixty-two million, one hundred fifty-three thousand, one hundred twenty".