48863200555008 has 2288 divisors, whose sum is σ = 185728369408000. Its totient is φ = 12799480135680.

The previous prime is 48863200554991. The next prime is 48863200555069. The reversal of 48863200555008 is 80055500236884.

48863200555008 is a `hidden beast` number, since 4 + 8 + 8 + 63 + 20 + 0 + 5 + 550 + 0 + 8 = 666.

It is a super-2 number, since 2×48863200555008² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 1576232275953 + ... + 1576232275983.

Almost surely, 2^{48863200555008} is an apocalyptic number.

48863200555008 is a gapful number since it is divisible by the number (48) 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 48863200555008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92864184704000).

48863200555008 is an abundant number, since it is smaller than the sum of its proper divisors (136865168852992).

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

48863200555008 is an frugal number, since it uses more digits than its factorization.

48863200555008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 48863200555008 in words is "forty-eight trillion, eight hundred sixty-three billion, two hundred million, five hundred fifty-five thousand, eight".