49158509904000 has 1920 divisors, whose sum is σ = 219244299056640. Its totient is φ = 10873336320000.

The previous prime is 49158509903989. The next prime is 49158509904047. The reversal of 49158509904000 is 40990585194.

49158509904000 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 8 + 509 + 90 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×49158509904000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1968611515 + ... + 1968636485.

It is an arithmetic number, because the mean of its divisors is an integer number (114189739092).

Almost surely, 2^{49158509904000} is an apocalyptic number.

49158509904000 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 49158509904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109622149528320).

49158509904000 is an abundant number, since it is smaller than the sum of its proper divisors (170085789152640).

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

49158509904000 is a wasteful number, since it uses less digits than its factorization.

49158509904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25057 (or 25019 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 49158509904000 in words is "forty-nine trillion, one hundred fifty-eight billion, five hundred nine million, nine hundred four thousand".