48370755829760 has 960 divisors, whose sum is σ = 147604966740000. Its totient is φ = 15080771026944.

The previous prime is 48370755829741. The next prime is 48370755829771. The reversal of 48370755829760 is 6792855707384.

It is a super-2 number, since 2×48370755829760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138598154066 + ... + 138598154414.

Almost surely, 2^{48370755829760} is an apocalyptic number.

48370755829760 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 48370755829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73802483370000).

48370755829760 is an abundant number, since it is smaller than the sum of its proper divisors (99234210910240).

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

48370755829760 is an frugal number, since it uses more digits than its factorization.

48370755829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 71.

The spelling of 48370755829760 in words is "forty-eight trillion, three hundred seventy billion, seven hundred fifty-five million, eight hundred twenty-nine thousand, seven hundred sixty".