1478296755600 has 480 divisors, whose sum is σ = 5701317473280. Its totient is φ = 319859435520.

The previous prime is 1478296755599. The next prime is 1478296755601. The reversal of 1478296755600 is 65576928741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1478296755599) and next prime (1478296755601).

It is a super-2 number, since 2×1478296755600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (1478296755601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259666354 + ... + 259672046.

It is an arithmetic number, because the mean of its divisors is an integer number (11877744736).

Almost surely, 2^{1478296755600} is an apocalyptic number.

1478296755600 is a gapful number since it is divisible by the number (10) 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 1478296755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850658736640).

1478296755600 is an abundant number, since it is smaller than the sum of its proper divisors (4223020717680).

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

1478296755600 is a wasteful number, since it uses less digits than its factorization.

1478296755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 1478296755600 in words is "one trillion, four hundred seventy-eight billion, two hundred ninety-six million, seven hundred fifty-five thousand, six hundred".