48011559691200 has 1008 divisors, whose sum is σ = 196352546632704. Its totient is φ = 10204026470400.

The previous prime is 48011559691181. The next prime is 48011559691219. The reversal of 48011559691200 is 219695511084.

It is an interprime number because it is at equal distance from previous prime (48011559691181) and next prime (48011559691219).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 331794865 + ... + 331939535.

It is an arithmetic number, because the mean of its divisors is an integer number (194794193088).

Almost surely, 2^{48011559691200} is an apocalyptic number.

48011559691200 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 48011559691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98176273316352).

48011559691200 is an abundant number, since it is smaller than the sum of its proper divisors (148340986941504).

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

48011559691200 is a wasteful number, since it uses less digits than its factorization.

48011559691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144810 (or 144788 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 48011559691200 in words is "forty-eight trillion, eleven billion, five hundred fifty-nine million, six hundred ninety-one thousand, two hundred".