49885890912000 has 3456 divisors, whose sum is σ = 217360048389120. Its totient is φ = 10826956800000.

The previous prime is 49885890911903. The next prime is 49885890912031. The reversal of 49885890912000 is 21909858894.

49885890912000 is a `hidden beast` number, since 49 + 8 + 8 + 589 + 0 + 9 + 1 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×49885890912000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 278692127911 + ... + 278692128089.

It is an arithmetic number, because the mean of its divisors is an integer number (62893532520).

Almost surely, 2^{49885890912000} is an apocalyptic number.

49885890912000 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 49885890912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108680024194560).

49885890912000 is an abundant number, since it is smaller than the sum of its proper divisors (167474157477120).

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

49885890912000 is a wasteful number, since it uses less digits than its factorization.

49885890912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 49885890912000 in words is "forty-nine trillion, eight hundred eighty-five billion, eight hundred ninety million, nine hundred twelve thousand".