54362137764000 has 192 divisors, whose sum is σ = 194280396815232. Its totient is φ = 13178700032000.

The previous prime is 54362137763993. The next prime is 54362137764031. The reversal of 54362137764000 is 46773126345.

It is a super-2 number, since 2×54362137764000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205785189 + ... + 206049188.

It is an arithmetic number, because the mean of its divisors is an integer number (1011877066746).

Almost surely, 2^{54362137764000} is an apocalyptic number.

54362137764000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54362137764000 is an abundant number, since it is smaller than the sum of its proper divisors (139918259051232).

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

54362137764000 is a wasteful number, since it uses less digits than its factorization.

54362137764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411834416 (or 411834398 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 54362137764000 in words is "fifty-four trillion, three hundred sixty-two billion, one hundred thirty-seven million, seven hundred sixty-four thousand".