49879023929280 has 672 divisors, whose sum is σ = 218975104018944. Its totient is φ = 10523924434944.

The previous prime is 49879023929257. The next prime is 49879023929299. The reversal of 49879023929280 is 8292932097894.

49879023929280 is a `hidden beast` number, since 4 + 9 + 8 + 7 + 90 + 239 + 29 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49879023929199 and 49879023929208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3551719 + ... + 10600601.

It is an arithmetic number, because the mean of its divisors is an integer number (325855809552).

Almost surely, 2^{49879023929280} is an apocalyptic number.

49879023929280 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 49879023929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109487552009472).

49879023929280 is an abundant number, since it is smaller than the sum of its proper divisors (169096080089664).

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

49879023929280 is a wasteful number, since it uses less digits than its factorization.

49879023929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048935 (or 7048913 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 49879023929280 in words is "forty-nine trillion, eight hundred seventy-nine billion, twenty-three million, nine hundred twenty-nine thousand, two hundred eighty".