1945500870600 has 1152 divisors, whose sum is σ = 8082384480000. Its totient is φ = 429947481600.

The previous prime is 1945500870587. The next prime is 1945500870617. The reversal of 1945500870600 is 60780055491.

1945500870600 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 500 + 87 + 0 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1779963654 + ... + 1779964746.

It is an arithmetic number, because the mean of its divisors is an integer number (7015958750).

Almost surely, 2^{1945500870600} is an apocalyptic number.

1945500870600 is a gapful number since it is divisible by the number (10) 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 1945500870600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041192240000).

1945500870600 is an abundant number, since it is smaller than the sum of its proper divisors (6136883609400).

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

1945500870600 is a wasteful number, since it uses less digits than its factorization.

1945500870600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1945500870600 in words is "one trillion, nine hundred forty-five billion, five hundred million, eight hundred seventy thousand, six hundred".