48955519825920 has 384 divisors, whose sum is σ = 174802160332800. Its totient is φ = 12996247191552.

The previous prime is 48955519825859. The next prime is 48955519825937. The reversal of 48955519825920 is 2952891555984.

It is a happy number.

48955519825920 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 5 + 519 + 82 + 5 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61258029 + ... + 62052051.

It is an arithmetic number, because the mean of its divisors is an integer number (455213959200).

Almost surely, 2^{48955519825920} is an apocalyptic number.

48955519825920 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 48955519825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87401080166400).

48955519825920 is an abundant number, since it is smaller than the sum of its proper divisors (125846640506880).

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

48955519825920 is a wasteful number, since it uses less digits than its factorization.

48955519825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794282 (or 794256 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 72.

The spelling of 48955519825920 in words is "forty-eight trillion, nine hundred fifty-five billion, five hundred nineteen million, eight hundred twenty-five thousand, nine hundred twenty".