49200117120 has 1024 divisors, whose sum is σ = 219967488000. Its totient is φ = 10095943680.

The previous prime is 49200117059. The next prime is 49200117157. The reversal of 49200117120 is 2171100294.

49200117120 is a `hidden beast` number, since 492 + 0 + 0 + 1 + 171 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 137047501 + ... + 137047859.

It is an arithmetic number, because the mean of its divisors is an integer number (214812000).

Almost surely, 2^49200117120 is an apocalyptic number.

49200117120 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 49200117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109983744000).

49200117120 is an abundant number, since it is smaller than the sum of its proper divisors (170767370880).

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

49200117120 is a wasteful number, since it uses less digits than its factorization.

49200117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 49200117120 in words is "forty-nine billion, two hundred million, one hundred seventeen thousand, one hundred twenty".