48956506583040 has 3744 divisors, whose sum is σ = 219892458479616. Its totient is φ = 10216365096960.

The previous prime is 48956506582931. The next prime is 48956506583059. The reversal of 48956506583040 is 4038560565984.

It is a happy number.

48956506583040 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 6 + 5 + 0 + 6 + 583 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 670637076444 + ... + 670637076516.

It is an arithmetic number, because the mean of its divisors is an integer number (58731960064).

Almost surely, 2^{48956506583040} is an apocalyptic number.

48956506583040 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 48956506583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109946229239808).

48956506583040 is an abundant number, since it is smaller than the sum of its proper divisors (170935951896576).

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

48956506583040 is an frugal number, since it uses more digits than its factorization.

48956506583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 48956506583040 in words is "forty-eight trillion, nine hundred fifty-six billion, five hundred six million, five hundred eighty-three thousand, forty".