48037785600000 has 1536 divisors, whose sum is σ = 185779834329600. Its totient is φ = 10813440000000.

The previous prime is 48037785599963. The next prime is 48037785600029. The reversal of 48037785600000 is 658773084.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191385599875 + ... + 191385600125.

It is an arithmetic number, because the mean of its divisors is an integer number (120950412975).

Almost surely, 2^{48037785600000} is an apocalyptic number.

48037785600000 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 48037785600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92889917164800).

48037785600000 is an abundant number, since it is smaller than the sum of its proper divisors (137742048729600).

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

48037785600000 is an frugal number, since it uses more digits than its factorization.

48037785600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 48037785600000 in words is "forty-eight trillion, thirty-seven billion, seven hundred eighty-five million, six hundred thousand".