48765730890240 has 960 divisors, whose sum is σ = 217000999797120. Its totient is φ = 10289024040960.

The previous prime is 48765730890211. The next prime is 48765730890269. The reversal of 48765730890240 is 4209803756784.

48765730890240 is a `hidden beast` number, since 4 + 87 + 6 + 5 + 7 + 308 + 9 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (48765730890211) and next prime (48765730890269).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43475655 + ... + 44583225.

It is an arithmetic number, because the mean of its divisors is an integer number (226042708122).

Almost surely, 2^{48765730890240} is an apocalyptic number.

48765730890240 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 48765730890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108500499898560).

48765730890240 is an abundant number, since it is smaller than the sum of its proper divisors (168235268906880).

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

48765730890240 is a wasteful number, since it uses less digits than its factorization.

48765730890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107630 (or 1107601 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 48765730890240 in words is "forty-eight trillion, seven hundred sixty-five billion, seven hundred thirty million, eight hundred ninety thousand, two hundred forty".