49008960000 has 2400 divisors, whose sum is σ = 251270667648. Its totient is φ = 8847360000.

The previous prime is 49008959977. The next prime is 49008960047. The reversal of 49008960000 is 6980094.

49008960000 is a `hidden beast` number, since 49 + 0 + 0 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2882879992 + ... + 2882880008.

Almost surely, 2^49008960000 is an apocalyptic number.

49008960000 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 49008960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125635333824).

49008960000 is an abundant number, since it is smaller than the sum of its proper divisors (202261707648).

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

49008960000 is a wasteful number, since it uses less digits than its factorization.

49008960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 49008960000 in words is "forty-nine billion, eight million, nine hundred sixty thousand".