53850377861280 has 864 divisors, whose sum is σ = 248088400560000. Its totient is φ = 10328940011520.

The previous prime is 53850377861251. The next prime is 53850377861393. The reversal of 53850377861280 is 8216877305835.

53850377861280 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 0 + 3 + 7 + 7 + 8 + 612 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 17301846 + ... + 20175594.

It is an arithmetic number, because the mean of its divisors is an integer number (287139352500).

Almost surely, 2^{53850377861280} 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 53850377861280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124044200280000).

53850377861280 is an abundant number, since it is smaller than the sum of its proper divisors (194238022698720).

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

53850377861280 is a wasteful number, since it uses less digits than its factorization.

53850377861280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873814 (or 2873790 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 53850377861280 in words is "fifty-three trillion, eight hundred fifty billion, three hundred seventy-seven million, eight hundred sixty-one thousand, two hundred eighty".