49933580175360 has 1296 divisors, whose sum is σ = 213859923584580. Its totient is φ = 10741733130240.

The previous prime is 49933580175341. The next prime is 49933580175379. The reversal of 49933580175360 is 6357108533994.

49933580175360 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 3 + 5 + 80 + 17 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49933580175341) and next prime (49933580175379).

It can be written as a sum of positive squares in 6 ways, for example, as 45674672956416 + 4258907218944 = 6758304^2 + 2063712^2 .

It is a super-2 number, since 2×49933580175360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1305058630 + ... + 1305096890.

Almost surely, 2^{49933580175360} is an apocalyptic number.

49933580175360 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 49933580175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106929961792290).

49933580175360 is an abundant number, since it is smaller than the sum of its proper divisors (163926343409220).

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

49933580175360 is a wasteful number, since it uses less digits than its factorization.

49933580175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38342 (or 38295 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 49933580175360 in words is "forty-nine trillion, nine hundred thirty-three billion, five hundred eighty million, one hundred seventy-five thousand, three hundred sixty".