55709174400 has 576 divisors, whose sum is σ = 203544264000. Its totient is φ = 13381632000.

The previous prime is 55709174351. The next prime is 55709174407. The reversal of 55709174400 is 447190755.

It is a happy number.

It is a super-2 number, since 2×55709174400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55709174407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231158280 + ... + 231158520.

Almost surely, 2^55709174400 is an apocalyptic number.

55709174400 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 55709174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101772132000).

55709174400 is an abundant number, since it is smaller than the sum of its proper divisors (147835089600).

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

55709174400 is a wasteful number, since it uses less digits than its factorization.

55709174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 55709174400 in words is "fifty-five billion, seven hundred nine million, one hundred seventy-four thousand, four hundred".