51829152996000 has 192 divisors, whose sum is σ = 169855695225216. Its totient is φ = 13815947520000.

The previous prime is 51829152995969. The next prime is 51829152996011. The reversal of 51829152996000 is 69925192815.

It is a super-2 number, since 2×51829152996000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31391100 + ... + 33000900.

It is an arithmetic number, because the mean of its divisors is an integer number (884665079298).

Almost surely, 2^{51829152996000} is an apocalyptic number.

51829152996000 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 51829152996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84927847612608).

51829152996000 is an abundant number, since it is smaller than the sum of its proper divisors (118026542229216).

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

51829152996000 is a wasteful number, since it uses less digits than its factorization.

51829152996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612512 (or 1612494 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 57.

The spelling of 51829152996000 in words is "fifty-one trillion, eight hundred twenty-nine billion, one hundred fifty-two million, nine hundred ninety-six thousand".