5295074954400 has 1152 divisors, whose sum is σ = 23903190097920. Its totient is φ = 1099021824000.

The previous prime is 5295074954363. The next prime is 5295074954401. The reversal of 5295074954400 is 44594705925.

It is a happy number.

5295074954400 is a `hidden beast` number, since 5 + 2 + 9 + 50 + 7 + 49 + 544 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5295074954401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2473177330 + ... + 2473179470.

It is an arithmetic number, because the mean of its divisors is an integer number (20749296960).

Almost surely, 2^{5295074954400} is an apocalyptic number.

5295074954400 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 5295074954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951595048960).

5295074954400 is an abundant number, since it is smaller than the sum of its proper divisors (18608115143520).

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

5295074954400 is a wasteful number, since it uses less digits than its factorization.

5295074954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5295074954400 in words is "five trillion, two hundred ninety-five billion, seventy-four million, nine hundred fifty-four thousand, four hundred".