49505628996096 has 320 divisors, whose sum is σ = 165634044576000. Its totient is φ = 13056427819008.

The previous prime is 49505628996091. The next prime is 49505628996101. The reversal of 49505628996096 is 69069982650594.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49505628996091) and next prime (49505628996101).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (49505628996091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234960 + ... + 10463088.

It is an arithmetic number, because the mean of its divisors is an integer number (517606389300).

Almost surely, 2^{49505628996096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49505628996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82817022288000).

49505628996096 is an abundant number, since it is smaller than the sum of its proper divisors (116128415579904).

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

49505628996096 is an equidigital number, since it uses as much as digits as its factorization.

49505628996096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228184 (or 7228154 counting only the distinct ones).

The product of its (nonzero) digits is 2267481600, while the sum is 78.

The spelling of 49505628996096 in words is "forty-nine trillion, five hundred five billion, six hundred twenty-eight million, nine hundred ninety-six thousand, ninety-six".