45270835545600 has 1920 divisors, whose sum is σ = 193827907553280. Its totient is φ = 10136101847040.

The previous prime is 45270835545577. The next prime is 45270835545601. The reversal of 45270835545600 is 654553807254.

45270835545600 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 0 + 8 + 35 + 545 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45270835545601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24170226264 + ... + 24170228136.

It is an arithmetic number, because the mean of its divisors is an integer number (100952035184).

Almost surely, 2^{45270835545600} is an apocalyptic number.

45270835545600 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 45270835545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96913953776640).

45270835545600 is an abundant number, since it is smaller than the sum of its proper divisors (148557072007680).

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

45270835545600 is a wasteful number, since it uses less digits than its factorization.

45270835545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 45270835545600 in words is "forty-five trillion, two hundred seventy billion, eight hundred thirty-five million, five hundred forty-five thousand, six hundred".