48779779923900 has 288 divisors, whose sum is σ = 165315481632000. Its totient is φ = 12305101236480.

The previous prime is 48779779923899. The next prime is 48779779923943. The reversal of 48779779923900 is 932997797784.

48779779923900 is a `hidden beast` number, since 4 + 8 + 7 + 79 + 7 + 79 + 92 + 390 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48779779923900.

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, 34027831 + ... + 35432369.

It is an arithmetic number, because the mean of its divisors is an integer number (574012089000).

Almost surely, 2^{48779779923900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48779779923900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82657740816000).

48779779923900 is an abundant number, since it is smaller than the sum of its proper divisors (116535701708100).

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

48779779923900 is a wasteful number, since it uses less digits than its factorization.

48779779923900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405258 (or 1405245 counting only the distinct ones).

The product of its (nonzero) digits is 3024568512, while the sum is 81.

The spelling of 48779779923900 in words is "forty-eight trillion, seven hundred seventy-nine billion, seven hundred seventy-nine million, nine hundred twenty-three thousand, nine hundred".