52124849280000 has 1320 divisors, whose sum is σ = 226260781123520. Its totient is φ = 11287019520000.

The previous prime is 52124849279983. The next prime is 52124849280013. The reversal of 52124849280000 is 8294842125.

52124849280000 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 484 + 92 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 766045980 + ... + 766114020.

Almost surely, 2^{52124849280000} is an apocalyptic number.

52124849280000 is a gapful number since it is divisible by the number (50) 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 52124849280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113130390561760).

52124849280000 is an abundant number, since it is smaller than the sum of its proper divisors (174135931843520).

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

52124849280000 is a wasteful number, since it uses less digits than its factorization.

52124849280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68113 (or 68077 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 52124849280000 in words is "fifty-two trillion, one hundred twenty-four billion, eight hundred forty-nine million, two hundred eighty thousand".