49617562500 has 567 divisors, whose sum is σ = 178942455601. Its totient is φ = 12028500000.

The previous prime is 49617562457. The next prime is 49617562513. The reversal of 49617562500 is 526571694.

The square root of 49617562500 is 222750.

It is a perfect power (a square), and thus also a powerful number.

49617562500 is a `hidden beast` number, since 4 + 9 + 6 + 17 + 5 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43469748036 + 6147814464 = 208494^2 + 78408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4510687495 + ... + 4510687505.

Almost surely, 2^49617562500 is an apocalyptic number.

49617562500 is the 222750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49617562500

49617562500 is an abundant number, since it is smaller than the sum of its proper divisors (129324893101).

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

49617562500 is an frugal number, since it uses more digits than its factorization.

49617562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 49617562500 in words is "forty-nine billion, six hundred seventeen million, five hundred sixty-two thousand, five hundred".