48129780206592 has 1408 divisors, whose sum is σ = 170673784750080. Its totient is φ = 13114680606720.

The previous prime is 48129780206587. The next prime is 48129780206611. The reversal of 48129780206592 is 29560208792184.

48129780206592 is a `hidden beast` number, since 4 + 8 + 12 + 9 + 7 + 8 + 0 + 20 + 6 + 592 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70468199083 + ... + 70468199765.

Almost surely, 2^{48129780206592} is an apocalyptic number.

48129780206592 is a gapful number since it is divisible by the number (42) 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 48129780206592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85336892375040).

48129780206592 is an abundant number, since it is smaller than the sum of its proper divisors (122544004543488).

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

48129780206592 is a wasteful number, since it uses less digits than its factorization.

48129780206592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 48129780206592 in words is "forty-eight trillion, one hundred twenty-nine billion, seven hundred eighty million, two hundred six thousand, five hundred ninety-two".