54924309077040 has 1280 divisors, whose sum is σ = 210062355148800. Its totient is φ = 13271519416320.

The previous prime is 54924309077039. The next prime is 54924309077047. The reversal of 54924309077040 is 4077090342945.

54924309077040 is a `hidden beast` number, since 5 + 492 + 43 + 0 + 9 + 0 + 7 + 70 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54924309077047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66899279830 + ... + 66899280650.

It is an arithmetic number, because the mean of its divisors is an integer number (164111214960).

Almost surely, 2^{54924309077040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54924309077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105031177574400).

54924309077040 is an abundant number, since it is smaller than the sum of its proper divisors (155138046071760).

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

54924309077040 is a wasteful number, since it uses less digits than its factorization.

54924309077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 54924309077040 in words is "fifty-four trillion, nine hundred twenty-four billion, three hundred nine million, seventy-seven thousand, forty".