54199060070400 has 2040 divisors, whose sum is σ = 235235543794944. Its totient is φ = 12077708083200.

The previous prime is 54199060070383. The next prime is 54199060070413. The reversal of 54199060070400 is 407006099145.

54199060070400 is a `hidden beast` number, since 54 + 199 + 0 + 6 + 0 + 0 + 7 + 0 + 400 = 666.

It is a super-2 number, since 2×54199060070400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38087884089 + ... + 38087885511.

Almost surely, 2^{54199060070400} is an apocalyptic number.

54199060070400 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 54199060070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117617771897472).

54199060070400 is an abundant number, since it is smaller than the sum of its proper divisors (181036483724544).

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

54199060070400 is an equidigital number, since it uses as much as digits as its factorization.

54199060070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 54199060070400 in words is "fifty-four trillion, one hundred ninety-nine billion, sixty million, seventy thousand, four hundred".