54074851600 has 405 divisors, whose sum is σ = 167220431973. Its totient is φ = 16742880000.

The previous prime is 54074851499. The next prime is 54074851601. The reversal of 54074851600 is 615847045.

The square root of 54074851600 is 232540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19466946576 + 34607905024 = 139524^2 + 186032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (54074851601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 358111525 + ... + 358111675.

Almost surely, 2^54074851600 is an apocalyptic number.

54074851600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54074851600 is the 232540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54074851600

54074851600 is an abundant number, since it is smaller than the sum of its proper divisors (113145580373).

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

54074851600 is a wasteful number, since it uses less digits than its factorization.

54074851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 54074851600 in words is "fifty-four billion, seventy-four million, eight hundred fifty-one thousand, six hundred".