49835748100320 has 768 divisors, whose sum is σ = 219058318080000. Its totient is φ = 10514791139328.

The previous prime is 49835748100319. The next prime is 49835748100337. The reversal of 49835748100320 is 2300184753894.

It is a happy number.

49835748100320 is a `hidden beast` number, since 4 + 9 + 83 + 57 + 481 + 0 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17969311 + ... + 20556449.

It is an arithmetic number, because the mean of its divisors is an integer number (285232185000).

Almost surely, 2^{49835748100320} is an apocalyptic number.

49835748100320 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 49835748100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109529159040000).

49835748100320 is an abundant number, since it is smaller than the sum of its proper divisors (169222569979680).

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

49835748100320 is a wasteful number, since it uses less digits than its factorization.

49835748100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587197 (or 2587169 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 49835748100320 in words is "forty-nine trillion, eight hundred thirty-five billion, seven hundred forty-eight million, one hundred thousand, three hundred twenty".