49787488973376 has 1120 divisors, whose sum is σ = 186635494932480. Its totient is φ = 12748061491200.

The previous prime is 49787488973357. The next prime is 49787488973377. The reversal of 49787488973376 is 67337988478794.

49787488973376 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 7 + 488 + 97 + 3 + 37 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49787488973377) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8615240055 + ... + 8615245833.

Almost surely, 2^{49787488973376} 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 49787488973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93317747466240).

49787488973376 is an abundant number, since it is smaller than the sum of its proper divisors (136848005959104).

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

49787488973376 is a wasteful number, since it uses less digits than its factorization.

49787488973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6106 counting only the distinct ones).

The product of its digits is 86032171008, while the sum is 90.

The spelling of 49787488973376 in words is "forty-nine trillion, seven hundred eighty-seven billion, four hundred eighty-eight million, nine hundred seventy-three thousand, three hundred seventy-six".