48900353598720 has 1728 divisors, whose sum is σ = 200702720574720. Its totient is φ = 11293039263744.

The previous prime is 48900353598713. The next prime is 48900353598787. The reversal of 48900353598720 is 2789535300984.

48900353598720 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 0 + 3 + 535 + 98 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26052398422 + ... + 26052400298.

It is an arithmetic number, because the mean of its divisors is an integer number (116147407740).

Almost surely, 2^{48900353598720} is an apocalyptic number.

48900353598720 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 48900353598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100351360287360).

48900353598720 is an abundant number, since it is smaller than the sum of its proper divisors (151802366976000).

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

48900353598720 is a wasteful number, since it uses less digits than its factorization.

48900353598720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 48900353598720 in words is "forty-eight trillion, nine hundred billion, three hundred fifty-three million, five hundred ninety-eight thousand, seven hundred twenty".