5514293400 has 864 divisors, whose sum is σ = 23434660800. Its totient is φ = 1060147200.

The previous prime is 5514293381. The next prime is 5514293413. The reversal of 5514293400 is 43924155.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 93462571 + ... + 93462629.

It is an arithmetic number, because the mean of its divisors is an integer number (27123450).

Almost surely, 2^5514293400 is an apocalyptic number.

5514293400 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 5514293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717330400).

5514293400 is an abundant number, since it is smaller than the sum of its proper divisors (17920367400).

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

5514293400 is a wasteful number, since it uses less digits than its factorization.

5514293400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5514293400 is about 74258.2884262760. The cubic root of 5514293400 is about 1766.7019564961.

The spelling of 5514293400 in words is "five billion, five hundred fourteen million, two hundred ninety-three thousand, four hundred".