9526420612800 has 1512 divisors, whose sum is σ = 42500314243296. Its totient is φ = 2006023864320.

The previous prime is 9526420612789. The next prime is 9526420612843. The reversal of 9526420612800 is 82160246259.

9526420612800 is a `hidden beast` number, since 9 + 5 + 2 + 6 + 4 + 20 + 612 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8961825069 + ... + 8961826131.

Almost surely, 2^{9526420612800} is an apocalyptic number.

9526420612800 is a gapful number since it is divisible by the number (90) 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 9526420612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250157121648).

9526420612800 is an abundant number, since it is smaller than the sum of its proper divisors (32973893630496).

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

9526420612800 is a wasteful number, since it uses less digits than its factorization.

9526420612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 9526420612800 in words is "nine trillion, five hundred twenty-six billion, four hundred twenty million, six hundred twelve thousand, eight hundred".