425516990976000 has 7488 divisors, whose sum is σ = 2094273705738240. Its totient is φ = 81935400960000.

The previous prime is 425516990975939. The next prime is 425516990976031. The reversal of 425516990976000 is 679099615524.

425516990976000 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 16 + 9 + 9 + 0 + 9 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3350527487937 + ... + 3350527488063.

It is an arithmetic number, because the mean of its divisors is an integer number (279683988480).

Almost surely, 2^{425516990976000} is an apocalyptic number.

425516990976000 is a gapful number since it is divisible by the number (40) 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 425516990976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047136852869120).

425516990976000 is an abundant number, since it is smaller than the sum of its proper divisors (1668756714762240).

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

425516990976000 is a wasteful number, since it uses less digits than its factorization.

425516990976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 425516990976000 in words is "four hundred twenty-five trillion, five hundred sixteen billion, nine hundred ninety million, nine hundred seventy-six thousand".