53777021400 has 288 divisors, whose sum is σ = 192154107600. Its totient is φ = 13431398400.

The previous prime is 53777021399. The next prime is 53777021651. The reversal of 53777021400 is 412077735.

53777021400 is a `hidden beast` number, since 5 + 377 + 70 + 214 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6452436 + ... + 6460764.

Almost surely, 2^53777021400 is an apocalyptic number.

53777021400 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 53777021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96077053800).

53777021400 is an abundant number, since it is smaller than the sum of its proper divisors (138377086200).

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

53777021400 is a wasteful number, since it uses less digits than its factorization.

53777021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 53777021400 in words is "fifty-three billion, seven hundred seventy-seven million, twenty-one thousand, four hundred".