48310225920000 has 1680 divisors, whose sum is σ = 191619762048000. Its totient is φ = 11626905600000.

The previous prime is 48310225919983. The next prime is 48310225920029. The reversal of 48310225920000 is 2952201384.

It is a happy number.

48310225920000 is a `hidden beast` number, since 48 + 3 + 1 + 0 + 22 + 592 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96814079751 + ... + 96814080249.

Almost surely, 2^{48310225920000} is an apocalyptic number.

48310225920000 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 48310225920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95809881024000).

48310225920000 is an abundant number, since it is smaller than the sum of its proper divisors (143309536128000).

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

48310225920000 is a wasteful number, since it uses less digits than its factorization.

48310225920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 48310225920000 in words is "forty-eight trillion, three hundred ten billion, two hundred twenty-five million, nine hundred twenty thousand".