5812877952000 has 2816 divisors, whose sum is σ = 26525912924160. Its totient is φ = 1226244096000.

The previous prime is 5812877951983. The next prime is 5812877952029. The reversal of 5812877952000 is 2597782185.

5812877952000 is a `hidden beast` number, since 581 + 2 + 8 + 7 + 7 + 9 + 52 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17248895832 + ... + 17248896168.

Almost surely, 2^{5812877952000} is an apocalyptic number.

5812877952000 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 5812877952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262956462080).

5812877952000 is an abundant number, since it is smaller than the sum of its proper divisors (20713034972160).

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

5812877952000 is a wasteful number, since it uses less digits than its factorization.

5812877952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 5812877952000 in words is "five trillion, eight hundred twelve billion, eight hundred seventy-seven million, nine hundred fifty-two thousand".