2078475141600 has 1152 divisors, whose sum is σ = 9037296576000. Its totient is φ = 454267699200.

The previous prime is 2078475141581. The next prime is 2078475141623. The reversal of 2078475141600 is 61415748702.

2078475141600 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 475 + 14 + 160 + 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 191 ways as a sum of consecutive naturals, for example, 132810576 + ... + 132826224.

It is an arithmetic number, because the mean of its divisors is an integer number (7844875500).

Almost surely, 2^{2078475141600} is an apocalyptic number.

2078475141600 is a gapful number since it is divisible by the number (20) 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 2078475141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518648288000).

2078475141600 is an abundant number, since it is smaller than the sum of its proper divisors (6958821434400).

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

2078475141600 is a wasteful number, since it uses less digits than its factorization.

2078475141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15745 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2078475141600 in words is "two trillion, seventy-eight billion, four hundred seventy-five million, one hundred forty-one thousand, six hundred".