48670009920000 has 4000 divisors, whose sum is σ = 227192863011840. Its totient is φ = 10112532480000.

The previous prime is 48670009919977. The next prime is 48670009920019. The reversal of 48670009920000 is 2990007684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4000).

It is a super-2 number, since 2×48670009920000² (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 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 399 ways as a sum of consecutive naturals, for example, 95618879746 + ... + 95618880254.

Almost surely, 2^{48670009920000} is an apocalyptic number.

48670009920000 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 48670009920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113596431505920).

48670009920000 is an abundant number, since it is smaller than the sum of its proper divisors (178522853091840).

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

48670009920000 is an equidigital number, since it uses as much as digits as its factorization.

48670009920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 48670009920000 its reverse (2990007684), we get a palindrome (48672999927684).

The spelling of 48670009920000 in words is "forty-eight trillion, six hundred seventy billion, nine million, nine hundred twenty thousand".