5100145092900 has 1152 divisors, whose sum is σ = 20346297753600. Its totient is φ = 1077492326400.

The previous prime is 5100145092821. The next prime is 5100145092961. The reversal of 5100145092900 is 92905410015.

5100145092900 is a `hidden beast` number, since 51 + 0 + 0 + 14 + 509 + 2 + 90 + 0 = 666.

It is a super-2 number, since 2×5100145092900² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2472197269 + ... + 2472199331.

It is an arithmetic number, because the mean of its divisors is an integer number (17661716800).

Almost surely, 2^{5100145092900} is an apocalyptic number.

5100145092900 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 5100145092900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173148876800).

5100145092900 is an abundant number, since it is smaller than the sum of its proper divisors (15246152660700).

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

5100145092900 is a wasteful number, since it uses less digits than its factorization.

5100145092900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 5100145092900 in words is "five trillion, one hundred billion, one hundred forty-five million, ninety-two thousand, nine hundred".