5145916177600 has 168 divisors, whose sum is σ = 14039726440176. Its totient is φ = 1840565760000.

The previous prime is 5145916177487. The next prime is 5145916177603. The reversal of 5145916177600 is 67716195415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5145916177603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322971 + ... + 3470170.

Almost surely, 2^{5145916177600} is an apocalyptic number.

5145916177600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5145916177600 is an abundant number, since it is smaller than the sum of its proper divisors (8893810262576).

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

5145916177600 is a wasteful number, since it uses less digits than its factorization.

5145916177600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793235 (or 4793220 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 52.

The spelling of 5145916177600 in words is "five trillion, one hundred forty-five billion, nine hundred sixteen million, one hundred seventy-seven thousand, six hundred".