49972740339600 has 2835 divisors, whose sum is σ = 209672253571977. Its totient is φ = 11433683589120.

The previous prime is 49972740339523. The next prime is 49972740339649. The reversal of 49972740339600 is 693304727994.

The square root of 49972740339600 is 7069140.

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

49972740339600 is a `hidden beast` number, since 499 + 7 + 27 + 4 + 0 + 33 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 39247167739536 + 10725572600064 = 6264756^2 + 3274992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 942881893174 + ... + 942881893226.

Almost surely, 2^{49972740339600} is an apocalyptic number.

49972740339600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49972740339600 is the 7069140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49972740339600

49972740339600 is an abundant number, since it is smaller than the sum of its proper divisors (159699513232377).

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

49972740339600 is a wasteful number, since it uses less digits than its factorization.

49972740339600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 49972740339600 in words is "forty-nine trillion, nine hundred seventy-two billion, seven hundred forty million, three hundred thirty-nine thousand, six hundred".