49688027002152 has 256 divisors, whose sum is σ = 172095604531200. Its totient is φ = 12904791747840.

The previous prime is 49688027002091. The next prime is 49688027002177. The reversal of 49688027002152 is 25120072088694.

49688027002152 is a `hidden beast` number, since 496 + 8 + 80 + 2 + 7 + 0 + 0 + 21 + 52 = 666.

It is a super-2 number, since 2×49688027002152² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188092353 + ... + 188356335.

It is an arithmetic number, because the mean of its divisors is an integer number (672248455200).

Almost surely, 2^{49688027002152} is an apocalyptic number.

49688027002152 is a gapful number since it is divisible by the number (42) 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 49688027002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86047802265600).

49688027002152 is an abundant number, since it is smaller than the sum of its proper divisors (122407577529048).

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

49688027002152 is a wasteful number, since it uses less digits than its factorization.

49688027002152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275333 (or 275323 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 49688027002152 in words is "forty-nine trillion, six hundred eighty-eight billion, twenty-seven million, two thousand, one hundred fifty-two".