48770100699840 has 1008 divisors, whose sum is σ = 187889905318752. Its totient is φ = 11985847271424.

The previous prime is 48770100699833. The next prime is 48770100699841. The reversal of 48770100699840 is 4899600107784.

48770100699840 is a `hidden beast` number, since 487 + 7 + 0 + 1 + 0 + 0 + 69 + 98 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (48770100699841) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 25574252167 + ... + 25574254073.

It is an arithmetic number, because the mean of its divisors is an integer number (186398715594).

Almost surely, 2^{48770100699840} is an apocalyptic number.

48770100699840 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 48770100699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93944952659376).

48770100699840 is an abundant number, since it is smaller than the sum of its proper divisors (139119804618912).

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

48770100699840 is an equidigital number, since it uses as much as digits as its factorization.

48770100699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 48770100699840 in words is "forty-eight trillion, seven hundred seventy billion, one hundred million, six hundred ninety-nine thousand, eight hundred forty".