492775291008000 has 16896 divisors, whose sum is σ = 2812001826816000. Its totient is φ = 84276412416000.

The previous prime is 492775291007941. The next prime is 492775291008043. The reversal of 492775291008000 is 800192577294.

492775291008000 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 7 + 529 + 100 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (16896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 25935541631991 + ... + 25935541632009.

Almost surely, 2^{492775291008000} is an apocalyptic number.

492775291008000 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 492775291008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406000913408000).

492775291008000 is an abundant number, since it is smaller than the sum of its proper divisors (2319226535808000).

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

492775291008000 is a wasteful number, since it uses less digits than its factorization.

492775291008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 492775291008000 in words is "four hundred ninety-two trillion, seven hundred seventy-five billion, two hundred ninety-one million, eight thousand".