54767040336400 has 240 divisors, whose sum is σ = 156923494896384. Its totient is φ = 17959629219840.

The previous prime is 54767040336367. The next prime is 54767040336409. The reversal of 54767040336400 is 463304076745.

It is not an unprimeable number, because it can be changed into a prime (54767040336409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1689646594 + ... + 1689679006.

Almost surely, 2^{54767040336400} is an apocalyptic number.

54767040336400 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 54767040336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78461747448192).

54767040336400 is an abundant number, since it is smaller than the sum of its proper divisors (102156454559984).

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

54767040336400 is a wasteful number, since it uses less digits than its factorization.

54767040336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58698 (or 58687 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 54767040336400 in words is "fifty-four trillion, seven hundred sixty-seven billion, forty million, three hundred thirty-six thousand, four hundred".