49978080000 has 720 divisors, whose sum is σ = 193096189440. Its totient is φ = 12722688000.

The previous prime is 49978079993. The next prime is 49978080017. The reversal of 49978080000 is 8087994.

49978080000 is a `hidden beast` number, since 499 + 7 + 80 + 80 + 0 + 0 + 0 = 666.

49978080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99359749 + ... + 99360251.

It is an arithmetic number, because the mean of its divisors is an integer number (268189152).

Almost surely, 2^49978080000 is an apocalyptic number.

49978080000 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 49978080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96548094720).

49978080000 is an abundant number, since it is smaller than the sum of its proper divisors (143118109440).

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

49978080000 is an equidigital number, since it uses as much as digits as its factorization.

49978080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 49978080000 in words is "forty-nine billion, nine hundred seventy-eight million, eighty thousand".