48835576187640 has 384 divisors, whose sum is σ = 183019824000000. Its totient is φ = 11168893854720.

The previous prime is 48835576187639. The next prime is 48835576187681. The reversal of 48835576187640 is 4678167553884.

48835576187640 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 5 + 576 + 1 + 8 + 7 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16624486 + ... + 19340234.

It is an arithmetic number, because the mean of its divisors is an integer number (476614125000).

Almost surely, 2^{48835576187640} is an apocalyptic number.

48835576187640 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 48835576187640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91509912000000).

48835576187640 is an abundant number, since it is smaller than the sum of its proper divisors (134184247812360).

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

48835576187640 is a wasteful number, since it uses less digits than its factorization.

48835576187640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716035 (or 2716028 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 48835576187640 in words is "forty-eight trillion, eight hundred thirty-five billion, five hundred seventy-six million, one hundred eighty-seven thousand, six hundred forty".