66126325553040 has 80 divisors (see below), whose sum is σ = 210531923005248. Its totient is φ = 17157100681728.

The previous prime is 66126325553033. The next prime is 66126325553053. The reversal of 66126325553040 is 4035552362166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×66126325553040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3723320262 + ... + 3723338021.

Almost surely, 2^{66126325553040} is an apocalyptic number.

66126325553040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66126325553040 is an abundant number, since it is smaller than the sum of its proper divisors (144405597452208).

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

66126325553040 is a wasteful number, since it uses less digits than its factorization.

66126325553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446658336 (or 7446658330 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 66126325553040 in words is "sixty-six trillion, one hundred twenty-six billion, three hundred twenty-five million, five hundred fifty-three thousand, forty".