48552106014720 has 2304 divisors, whose sum is σ = 223955369164800. Its totient is φ = 9417554657280.

The previous prime is 48552106014719. The next prime is 48552106014809. The reversal of 48552106014720 is 2741060125584.

48552106014720 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 2 + 10 + 601 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×48552106014720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15320953296 + ... + 15320956464.

It is an arithmetic number, because the mean of its divisors is an integer number (97202851200).

Almost surely, 2^{48552106014720} is an apocalyptic number.

48552106014720 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 48552106014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111977684582400).

48552106014720 is an abundant number, since it is smaller than the sum of its proper divisors (175403263150080).

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

48552106014720 is a wasteful number, since it uses less digits than its factorization.

48552106014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 48552106014720 in words is "forty-eight trillion, five hundred fifty-two billion, one hundred six million, fourteen thousand, seven hundred twenty".