48350756400 has 480 divisors, whose sum is σ = 167854256640. Its totient is φ = 11865047040.

The previous prime is 48350756387. The next prime is 48350756413. The reversal of 48350756400 is 465705384.

It is an interprime number because it is at equal distance from previous prime (48350756387) and next prime (48350756413).

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, 115395391 + ... + 115395809.

It is an arithmetic number, because the mean of its divisors is an integer number (349696368).

Almost surely, 2^48350756400 is an apocalyptic number.

48350756400 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 48350756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83927128320).

48350756400 is an abundant number, since it is smaller than the sum of its proper divisors (119503500240).

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

48350756400 is a wasteful number, since it uses less digits than its factorization.

48350756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 48350756400 in words is "forty-eight billion, three hundred fifty million, seven hundred fifty-six thousand, four hundred".