45375587840 has 320 divisors, whose sum is σ = 124732016640. Its totient is φ = 15679488000.

The previous prime is 45375587819. The next prime is 45375587849. The reversal of 45375587840 is 4878557354.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45375587849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51504200 + ... + 51505080.

It is an arithmetic number, because the mean of its divisors is an integer number (389787552).

Almost surely, 2^45375587840 is an apocalyptic number.

45375587840 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 45375587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62366008320).

45375587840 is an abundant number, since it is smaller than the sum of its proper divisors (79356428800).

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

45375587840 is a wasteful number, since it uses less digits than its factorization.

45375587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 56.

The spelling of 45375587840 in words is "forty-five billion, three hundred seventy-five million, five hundred eighty-seven thousand, eight hundred forty".