48157916040 has 512 divisors, whose sum is σ = 184540608000. Its totient is φ = 11072028672.

The previous prime is 48157915999. The next prime is 48157916041. The reversal of 48157916040 is 4061975184.

48157916040 is a `hidden beast` number, since 481 + 5 + 7 + 9 + 160 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48157916041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19472244 + ... + 19474716.

It is an arithmetic number, because the mean of its divisors is an integer number (360430875).

Almost surely, 2^48157916040 is an apocalyptic number.

48157916040 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 48157916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92270304000).

48157916040 is an abundant number, since it is smaller than the sum of its proper divisors (136382691960).

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

48157916040 is a wasteful number, since it uses less digits than its factorization.

48157916040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 48157916040 in words is "forty-eight billion, one hundred fifty-seven million, nine hundred sixteen thousand, forty".