48352100077120 has 448 divisors, whose sum is σ = 141443122752000. Its totient is φ = 15374375976960.

The previous prime is 48352100077117. The next prime is 48352100077121. The reversal of 48352100077120 is 2177000125384.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48352100077121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1012776450 + ... + 1012824190.

Almost surely, 2^{48352100077120} is an apocalyptic number.

48352100077120 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 48352100077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70721561376000).

48352100077120 is an abundant number, since it is smaller than the sum of its proper divisors (93091022674880).

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

48352100077120 is a wasteful number, since it uses less digits than its factorization.

48352100077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48286 (or 48276 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 48352100077120 in words is "forty-eight trillion, three hundred fifty-two billion, one hundred million, seventy-seven thousand, one hundred twenty".