5778418400370 has 1728 divisors, whose sum is σ = 21247848865152. Its totient is φ = 1126252512000.

The previous prime is 5778418400369. The next prime is 5778418400383. The reversal of 5778418400370 is 730048148775.

5778418400370 is a `hidden beast` number, since 57 + 78 + 418 + 40 + 0 + 3 + 70 = 666.

It is a super-2 number, since 2×5778418400370² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 57212063320 + ... + 57212063420.

It is an arithmetic number, because the mean of its divisors is an integer number (12296208834).

Almost surely, 2^{5778418400370} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5778418400370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623924432576).

5778418400370 is an abundant number, since it is smaller than the sum of its proper divisors (15469430464782).

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

5778418400370 is a wasteful number, since it uses less digits than its factorization.

5778418400370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 5778418400370 in words is "five trillion, seven hundred seventy-eight billion, four hundred eighteen million, four hundred thousand, three hundred seventy".