48658091040 has 768 divisors, whose sum is σ = 199419494400. Its totient is φ = 10973491200.

The previous prime is 48658091023. The next prime is 48658091077. The reversal of 48658091040 is 4019085684.

48658091040 is a `hidden beast` number, since 486 + 5 + 80 + 91 + 0 + 4 + 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 127 ways as a sum of consecutive naturals, for example, 33077505 + ... + 33078975.

It is an arithmetic number, because the mean of its divisors is an integer number (259660800).

Almost surely, 2^48658091040 is an apocalyptic number.

48658091040 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 48658091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99709747200).

48658091040 is an abundant number, since it is smaller than the sum of its proper divisors (150761403360).

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

48658091040 is a wasteful number, since it uses less digits than its factorization.

48658091040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 48658091040 in words is "forty-eight billion, six hundred fifty-eight million, ninety-one thousand, forty".