49375260633600 has 3840 divisors, whose sum is σ = 212668088371200. Its totient is φ = 11110514688000.

The previous prime is 49375260633599. The next prime is 49375260633619. The reversal of 49375260633600 is 633606257394.

It is a happy number.

49375260633600 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 5 + 26 + 0 + 6 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 355217702331 + ... + 355217702469.

It is an arithmetic number, because the mean of its divisors is an integer number (55382314680).

Almost surely, 2^{49375260633600} is an apocalyptic number.

49375260633600 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 49375260633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106334044185600).

49375260633600 is an abundant number, since it is smaller than the sum of its proper divisors (163292827737600).

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

49375260633600 is a wasteful number, since it uses less digits than its factorization.

49375260633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 49375260633600 in words is "forty-nine trillion, three hundred seventy-five billion, two hundred sixty million, six hundred thirty-three thousand, six hundred".