48697528320000 has 2560 divisors, whose sum is σ = 215410126694400. Its totient is φ = 10627448832000.

The previous prime is 48697528319981. The next prime is 48697528320079. The reversal of 48697528320000 is 2382579684.

48697528320000 is a `hidden beast` number, since 4 + 8 + 6 + 97 + 528 + 3 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89026559727 + ... + 89026560273.

It is an arithmetic number, because the mean of its divisors is an integer number (84144580740).

Almost surely, 2^{48697528320000} is an apocalyptic number.

48697528320000 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 48697528320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107705063347200).

48697528320000 is an abundant number, since it is smaller than the sum of its proper divisors (166712598374400).

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

48697528320000 is an frugal number, since it uses more digits than its factorization.

48697528320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 48697528320000 in words is "forty-eight trillion, six hundred ninety-seven billion, five hundred twenty-eight million, three hundred twenty thousand".