45957120000 has 720 divisors, whose sum is σ = 176889902112. Its totient is φ = 10485760000.

The previous prime is 45957119987. The next prime is 45957120007. The reversal of 45957120000 is 2175954.

It is a super-2 number, since 2×45957120000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45957120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2703359992 + ... + 2703360008.

Almost surely, 2^45957120000 is an apocalyptic number.

45957120000 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 45957120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88444951056).

45957120000 is an abundant number, since it is smaller than the sum of its proper divisors (130932782112).

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

45957120000 is an frugal number, since it uses more digits than its factorization.

45957120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

Adding to 45957120000 its reverse (2175954), we get a palindrome (45959295954).

The spelling of 45957120000 in words is "forty-five billion, nine hundred fifty-seven million, one hundred twenty thousand".