49120977346560 has 2688 divisors, whose sum is σ = 218425013268480. Its totient is φ = 10404495360000.

The previous prime is 49120977346541. The next prime is 49120977346619. The reversal of 49120977346560 is 6564377902194.

49120977346560 is a `hidden beast` number, since 4 + 9 + 1 + 20 + 9 + 7 + 7 + 3 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65407426185 + ... + 65407426935.

Almost surely, 2^{49120977346560} is an apocalyptic number.

49120977346560 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 49120977346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109212506634240).

49120977346560 is an abundant number, since it is smaller than the sum of its proper divisors (169304035921920).

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

49120977346560 is a wasteful number, since it uses less digits than its factorization.

49120977346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 49120977346560 in words is "forty-nine trillion, one hundred twenty billion, nine hundred seventy-seven million, three hundred forty-six thousand, five hundred sixty".