66265554930960 has 1920 divisors, whose sum is σ = 286077049896960. Its totient is φ = 12280008499200.

The previous prime is 66265554930931. The next prime is 66265554930989. The reversal of 66265554930960 is 6903945556266.

It is an interprime number because it is at equal distance from previous prime (66265554930931) and next prime (66265554930989).

It is a super-2 number, since 2×66265554930960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 66265554930891 and 66265554930900.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14901179457 + ... + 14901183903.

It is an arithmetic number, because the mean of its divisors is an integer number (148998463488).

Almost surely, 2^{66265554930960} is an apocalyptic number.

66265554930960 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 66265554930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143038524948480).

66265554930960 is an abundant number, since it is smaller than the sum of its proper divisors (219811494966000).

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

66265554930960 is a wasteful number, since it uses less digits than its factorization.

66265554930960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 314928000, while the sum is 66.

The spelling of 66265554930960 in words is "sixty-six trillion, two hundred sixty-five billion, five hundred fifty-four million, nine hundred thirty thousand, nine hundred sixty".