5177089121400 has 576 divisors, whose sum is σ = 21138889524480. Its totient is φ = 1108438732800.

The previous prime is 5177089121329. The next prime is 5177089121411. The reversal of 5177089121400 is 41219807715.

It is a happy number.

5177089121400 is a `hidden beast` number, since 51 + 7 + 70 + 8 + 9 + 121 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45138927 + ... + 45253473.

It is an arithmetic number, because the mean of its divisors is an integer number (36699460980).

Almost surely, 2^{5177089121400} is an apocalyptic number.

5177089121400 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 5177089121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569444762240).

5177089121400 is an abundant number, since it is smaller than the sum of its proper divisors (15961800403080).

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

5177089121400 is a wasteful number, since it uses less digits than its factorization.

5177089121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114804 (or 114792 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 5177089121400 in words is "five trillion, one hundred seventy-seven billion, eighty-nine million, one hundred twenty-one thousand, four hundred".