5708102400 has 1620 divisors, whose sum is σ = 28552071856. Its totient is φ = 1094860800.

The previous prime is 5708102377. The next prime is 5708102429. The reversal of 5708102400 is 42018075.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 439084794 + ... + 439084806.

Almost surely, 2^5708102400 is an apocalyptic number.

5708102400 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 5708102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276035928).

5708102400 is an abundant number, since it is smaller than the sum of its proper divisors (22843969456).

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

5708102400 is a wasteful number, since it uses less digits than its factorization.

5708102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5708102400 is about 75551.9847522221. The cubic root of 5708102400 is about 1787.1619873686.

The spelling of 5708102400 in words is "five billion, seven hundred eight million, one hundred two thousand, four hundred".