45278265600 has 216 divisors, whose sum is σ = 166031421920. Its totient is φ = 12074158080.

The previous prime is 45278265583. The next prime is 45278265601. The reversal of 45278265600 is 656287254.

45278265600 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 82 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (45278265601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41787 + ... + 303813.

Almost surely, 2^45278265600 is an apocalyptic number.

45278265600 is a gapful number since it is divisible by the number (40) 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 45278265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83015710960).

45278265600 is an abundant number, since it is smaller than the sum of its proper divisors (120753156320).

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

45278265600 is a wasteful number, since it uses less digits than its factorization.

45278265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262062 (or 262037 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45278265600 in words is "forty-five billion, two hundred seventy-eight million, two hundred sixty-five thousand, six hundred".