66253835428440 has 512 divisors, whose sum is σ = 219163208232960. Its totient is φ = 15889986201600.

The previous prime is 66253835428433. The next prime is 66253835428519. The reversal of 66253835428440 is 4482453835266.

It is a super-2 number, since 2×66253835428440² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 44376312334 + ... + 44376313826.

It is an arithmetic number, because the mean of its divisors is an integer number (428053141080).

Almost surely, 2^{66253835428440} is an apocalyptic number.

66253835428440 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 66253835428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109581604116480).

66253835428440 is an abundant number, since it is smaller than the sum of its proper divisors (152909372804520).

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

66253835428440 is a wasteful number, since it uses less digits than its factorization.

66253835428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 60.

The spelling of 66253835428440 in words is "sixty-six trillion, two hundred fifty-three billion, eight hundred thirty-five million, four hundred twenty-eight thousand, four hundred forty".