49515990907680 has 1152 divisors, whose sum is σ = 194611292209152. Its totient is φ = 11353006080000.

The previous prime is 49515990907673. The next prime is 49515990907717. The reversal of 49515990907680 is 8670909951594.

49515990907680 is a `hidden beast` number, since 49 + 515 + 9 + 9 + 0 + 9 + 0 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49515990907599 and 49515990907608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23794324240 + ... + 23794326320.

It is an arithmetic number, because the mean of its divisors is an integer number (168933413376).

Almost surely, 2^{49515990907680} is an apocalyptic number.

49515990907680 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 49515990907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97305646104576).

49515990907680 is an abundant number, since it is smaller than the sum of its proper divisors (145095301301472).

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

49515990907680 is a wasteful number, since it uses less digits than its factorization.

49515990907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 49515990907680 in words is "forty-nine trillion, five hundred fifteen billion, nine hundred ninety million, nine hundred seven thousand, six hundred eighty".