51028493400 has 288 divisors, whose sum is σ = 182059441200. Its totient is φ = 13275187200.

The previous prime is 51028493291. The next prime is 51028493429. The reversal of 51028493400 is 439482015.

It is a super-3 number, since 3×51028493400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1979796 + ... + 2005404.

Almost surely, 2^51028493400 is an apocalyptic number.

51028493400 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 51028493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91029720600).

51028493400 is an abundant number, since it is smaller than the sum of its proper divisors (131030947800).

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

51028493400 is a wasteful number, since it uses less digits than its factorization.

51028493400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25681 (or 25660 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 51028493400 in words is "fifty-one billion, twenty-eight million, four hundred ninety-three thousand, four hundred".