45980539200 has 1008 divisors, whose sum is σ = 183249271296. Its totient is φ = 10882252800.

The previous prime is 45980539177. The next prime is 45980539219. The reversal of 45980539200 is 293508954.

45980539200 is a `hidden beast` number, since 4 + 5 + 98 + 0 + 539 + 20 + 0 = 666.

It is a super-2 number, since 2×45980539200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 553982359 + ... + 553982441.

It is an arithmetic number, because the mean of its divisors is an integer number (181794912).

Almost surely, 2^45980539200 is an apocalyptic number.

45980539200 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 45980539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91624635648).

45980539200 is an abundant number, since it is smaller than the sum of its proper divisors (137268732096).

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

45980539200 is a wasteful number, since it uses less digits than its factorization.

45980539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45980539200 in words is "forty-five billion, nine hundred eighty million, five hundred thirty-nine thousand, two hundred".