49679538585600 has 1656 divisors, whose sum is σ = 209177498845728. Its totient is φ = 10287788851200.

The previous prime is 49679538585581. The next prime is 49679538585619. The reversal of 49679538585600 is 658583597694.

It is an interprime number because it is at equal distance from previous prime (49679538585581) and next prime (49679538585619).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169554739054 + ... + 169554739346.

Almost surely, 2^{49679538585600} is an apocalyptic number.

49679538585600 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 49679538585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104588749422864).

49679538585600 is an abundant number, since it is smaller than the sum of its proper divisors (159497960260128).

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

49679538585600 is an frugal number, since it uses more digits than its factorization.

49679538585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1959552000, while the sum is 75.

The spelling of 49679538585600 in words is "forty-nine trillion, six hundred seventy-nine billion, five hundred thirty-eight million, five hundred eighty-five thousand, six hundred".