48952761636240 has 1920 divisors, whose sum is σ = 214316911411200. Its totient is φ = 9922158489600.

The previous prime is 48952761636217. The next prime is 48952761636263. The reversal of 48952761636240 is 4263616725984.

48952761636240 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 2 + 7 + 616 + 3 + 6 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48952761636217) and next prime (48952761636263).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59625775030 + ... + 59625775850.

It is an arithmetic number, because the mean of its divisors is an integer number (111623391360).

It is a 1-persistent number, because it is pandigital, but 2⋅48952761636240 = 97905523272480 is not.

Almost surely, 2^{48952761636240} is an apocalyptic number.

48952761636240 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 48952761636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107158455705600).

48952761636240 is an abundant number, since it is smaller than the sum of its proper divisors (165364149774960).

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

48952761636240 is a wasteful number, since it uses less digits than its factorization.

48952761636240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 48952761636240 in words is "forty-eight trillion, nine hundred fifty-two billion, seven hundred sixty-one million, six hundred thirty-six thousand, two hundred forty".