48480528032640 has 2560 divisors, whose sum is σ = 203939208000000. Its totient is φ = 10850747351040.

The previous prime is 48480528032617. The next prime is 48480528032663. The reversal of 48480528032640 is 4623082508484.

48480528032640 is a `hidden beast` number, since 4 + 8 + 4 + 80 + 528 + 0 + 32 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48480528032617) and next prime (48480528032663).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 95246616706 + ... + 95246617214.

It is an arithmetic number, because the mean of its divisors is an integer number (79663753125).

Almost surely, 2^{48480528032640} is an apocalyptic number.

48480528032640 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 48480528032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101969604000000).

48480528032640 is an abundant number, since it is smaller than the sum of its proper divisors (155458679967360).

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

48480528032640 is a wasteful number, since it uses less digits than its factorization.

48480528032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 48480528032640 in words is "forty-eight trillion, four hundred eighty billion, five hundred twenty-eight million, thirty-two thousand, six hundred forty".