47869177496400 has 360 divisors, whose sum is σ = 186675921309696. Its totient is φ = 11270869632000.

The previous prime is 47869177496381. The next prime is 47869177496419. The reversal of 47869177496400 is 469477196874.

47869177496400 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 9 + 177 + 49 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (47869177496381) and next prime (47869177496419).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21159376 + ... + 23312175.

Almost surely, 2^{47869177496400} is an apocalyptic number.

47869177496400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47869177496400 is an abundant number, since it is smaller than the sum of its proper divisors (138806743813296).

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

47869177496400 is a wasteful number, since it uses less digits than its factorization.

47869177496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44471611 (or 44471597 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 47869177496400 in words is "forty-seven trillion, eight hundred sixty-nine billion, one hundred seventy-seven million, four hundred ninety-six thousand, four hundred".