48956617987200 has 2880 divisors, whose sum is σ = 231002385213600. Its totient is φ = 10095611904000.

The previous prime is 48956617987129. The next prime is 48956617987279. The reversal of 48956617987200 is 278971665984.

48956617987200 is a `hidden beast` number, since 48 + 9 + 566 + 17 + 9 + 8 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 19419521940 + ... + 19419524460.

Almost surely, 2^{48956617987200} is an apocalyptic number.

48956617987200 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 48956617987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115501192606800).

48956617987200 is an abundant number, since it is smaller than the sum of its proper divisors (182045767226400).

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

48956617987200 is a wasteful number, since it uses less digits than its factorization.

48956617987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 48956617987200 in words is "forty-eight trillion, nine hundred fifty-six billion, six hundred seventeen million, nine hundred eighty-seven thousand, two hundred".